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Finding the Fourth Proportional to 748.85, 1,124.69 and 475.47

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Solution

The fourth proportional to 748.85, 1,124.69 and 475.47 is: 714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.85 : 1,124.69 = 475.47 : x
  2. Step 2: Convert to fraction form
    748.85/1,124.69 = 475.47/x
  3. Step 3: Cross multiply
    748.85x = 1,124.69 × 475.47
  4. Step 4: Simplify right side
    748.85x = 534,753.98
  5. Step 5: Solve for x
    x = 534,753.98/748.85
  6. Step 6: Final answer
    x = 714.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.