Question
$$\frac{481}{1000} = 1-\frac{3}{4}f^3$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{481}{1000} &= 1-\frac{3}{4}f^3&& \text{multiply ALL terms by } \color{blue}{ 1000 }. \\[1 em]1000\cdot\frac{481}{1000} &= 1000\cdot1-1000 \cdot \frac{3}{4}f^3&& \text{cancel out the denominators} \\[1 em]481 &= 1000-750f^3&& \text{simplify right side} \\[1 em]481 &= -750f^3+1000&& \text{move all terms to the left hand side } \\[1 em]481+750f^3-1000 &= 0&& \text{simplify left side} \\[1 em]750f^3-519 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
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Equations Solver