Solve 1200:x=2000:0.6575

$$1200 : x = 2000 : 0.6575$$

Solve for x

$$x=0.3945$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$1200=x\times \frac{2000}{0.6575}$$

Expand \frac{2000}{0.6575} by multiplying both numerator and the denominator by 10000.

$$1200=x\times \frac{20000000}{6575}$$

Reduce the fraction \frac{20000000}{6575} to lowest terms by extracting and canceling out 25.

$$1200=x\times \frac{800000}{263}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{800000}{263}=1200$$

Multiply both sides by \frac{263}{800000}, the reciprocal of \frac{800000}{263}.

$$x=1200\times \frac{263}{800000}$$

Express 1200\times \frac{263}{800000} as a single fraction.

$$x=\frac{1200\times 263}{800000}$$

Multiply 1200 and 263 to get 315600.

$$x=\frac{315600}{800000}$$

Reduce the fraction \frac{315600}{800000} to lowest terms by extracting and canceling out 400.

$$x=\frac{789}{2000}$$