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Finding the Fourth Proportional to 747.48, 1,122.85 and 632.16

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Solution

The fourth proportional to 747.48, 1,122.85 and 632.16 is: 949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.48 : 1,122.85 = 632.16 : x
  2. Step 2: Convert to fraction form
    747.48/1,122.85 = 632.16/x
  3. Step 3: Cross multiply
    747.48x = 1,122.85 × 632.16
  4. Step 4: Simplify right side
    747.48x = 709,820.86
  5. Step 5: Solve for x
    x = 709,820.86/747.48
  6. Step 6: Final answer
    x = 949.62

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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.