1. **State the problem:** Solve the equation $\frac{4}{3} = \frac{6}{4.5}$ and check if it is true. 2. **Recall the rule:** Two fractions $\frac{a}{b}$ and $\frac{c}{d}$ are equal if and only if $a \times d = b \times c$. 3. **Apply the cross multiplication:** $$4 \times 4.5 = 3 \times 6$$ 4. **Calculate each side:** $$4 \times 4.5 = 18$$ $$3 \times 6 = 18$$ 5. **Compare results:** Since both sides equal 18, the equation $\frac{4}{3} = \frac{6}{4.5}$ is true. **Final answer:** The equation is correct; both sides are equal.