Finding the Fourth Proportional to 742, 1,024 and 427.26
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Solution
The fourth proportional to 742, 1,024 and 427.26 is: 589.64
Step by Step Solution
- Step 1: Write the proportion equation
742 : 1,024 = 427.26 : x - Step 2: Convert to fraction form
742/1,024 = 427.26/x - Step 3: Cross multiply
742x = 1,024 × 427.26 - Step 4: Simplify right side
742x = 437,514.24 - Step 5: Solve for x
x = 437,514.24/742 - Step 6: Final answer
x = 589.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.