1. **State the problem:** The ratio of the price of a dress to that of a shirt is 7:4. The dress costs 42 more than the shirt. We need to find the price of the dress. 2. **Set variables:** Let the price of the dress be $7x$ and the price of the shirt be $4x$ because their ratio is 7:4. 3. **Write the equation:** The dress costs 42 more than the shirt, so: $$7x - 4x = 42$$ 4. **Simplify the equation:** $$3x = 42$$ 5. **Solve for $x$:** $$x = \frac{42}{3} = 14$$ 6. **Find the price of the dress:** $$7x = 7 \times 14 = 98$$ **Answer:** The price of the dress is 98.