Solve 760*700/273=400*x/288

$$\frac{ 760 \times 700 }{ 273 } = \frac{ 400 \times x }{ 288 }$$

Solve for x

$$x = \frac{18240}{13} = 1403\frac{1}{13} \approx 1403.076923077$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 26208, the least common multiple of 273,288.

$$96\times 760\times 700=91\times 400x$$

Multiply 96 and 760 to get 72960.

$$72960\times 700=91\times 400x$$

Multiply 72960 and 700 to get 51072000.

$$51072000=91\times 400x$$

Multiply 91 and 400 to get 36400.

$$51072000=36400x$$

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

$$36400x=51072000$$

Divide both sides by 36400.

$$x=\frac{51072000}{36400}$$

Reduce the fraction \frac{51072000}{36400} to lowest terms by extracting and canceling out 2800.

$$x=\frac{18240}{13}$$