Superchargers/Turbos and fuel economy:
I'll make an attempt to dump this down into a few blurps the best I can as to not confuse anybody. Hopefully this help provide a better understanding of why you see differences in fuel econmy with "boosted" engines.
Let's take a 1.8L yamaha motor to start with. In a perfect world (and it is not perfect), every engine will run at 100% volumetric efficency under wide open throttle. This is basically means that for every two full rotations of the crankshaft at sea level (standard day conditions), the engine pulls in 1.8 liters of air, and gets rid of it. The problem is, once you add things like an air filter, an intake, a throttle body, cylinder heads, valves, exhaust manifolds, water, etc. you do nothing but reduce the engines ability to move air. Often times this is a good thing. Think of idle, partial throttle applications, etc.
Fuel: Every fuel has a "stoich" point. It is basically the amount of air is needed to burn a specific fuel completely. This ratio is that "happy spot" where an engine is not rich or lean, it's simply "stoich". The oxgen sensors in your car/boat simply determine this information. Your standard "pump gas" stoich ratio will be around 14.7:1 (14.7 parts air for every part fuel). E10 is roughly 14.1 / 14.2. Now, as you begin process more air with your engine (rpms up, throttle up etc.) your combustion chamber will begin to increase in temperature. It's just sort of the nature of the beast. To prevent the temperature from getting hot enough to damage your engine, you just inject more fuel. When you put in more fuel without adding more air, you alter the air to fuel ratio. For engines that are "not on the ragged edge for power (no supercharger/turbo/nitrous/high compression/race engine)", a good safe number is 13:1. That is 13 parts air for one part fuel. This ratio will keep the temperature cool enough to not damage parts, doesn't burn too much fuel, and makes good power.
Supercharged or turbocharged engines: These little guys can do something that their naturally aspirated bretheren cannot. They can operate above 100% volumetric efficiency. The key word here is "CAN". They don't have to. That is simply up to the driver and how far he wants to push the throttle forward. A 1.5 liter rotax engine with a supercharger making roughly 14.7psi of boost will deliver 3.0 liters of air in two revolutions (200% volumetric efficiency). More air = more power.
Fuel (again) Now, when you move more air, you have to move more fuel. The difference here, and the main reason that I am yapping, is that when you're moving that much air things in the combustion chamber get hot. When you operate above 100% volumetric efficiency, having a 13.0 air to fuel ratio just doesn't cool things down enough. You have to shoot in more fuel. The ratio for supercharged/turbocharged engines is not too widely debated, but more of a "everybody has their style" sort of deal. In general, a ratio of 12 parts air to 1 part fuel is what the OEMs use on forced induction cars. If you start modifying things (more air=more power=more heat=more fuel) then you can go even richer still. Sometimes 11:1 air to fuel to ensure things are cool enough to not break/melt etc. OEMs will never go that rich because it is will damage catalytic converters in short order.
Summary:
1.8 liter natrually aspirated at wide open throttle burns 13 parts air per 1 part fuel.
1.5 liter supercharged engine at wide open throttle burns 12 parts air per 1 part fuel.
The difference is roughly 8% more fuel in the supercharged engine at the same horsepower. That is your "optimal" difference in fuel economy when a supercharged engine is making the same power as a non-supercharged engine. Things can be done to reduce this difference though such as reving the engine higher or reducing the intake charge temperature (intercooler).
Since the horsepower is not the same between these engines, the more power you make, the more fuel it will take. If one engine makes twice the horsepower as another, it will take roughly twice the fuel, plus an additional 8%. Keep in mind, no engine is 100% volumetric efficient on it's own. There are restrictions everywhere, even in supercharged engines, and they all reduce the potential for the "most horsepower". The aftermarket and race teams work to reduce the restrictions and the OEMs engineer their engines with restrictions for reliability/emissions/noise/fuel economy etc.