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Finding the Fourth Proportional to 747.72, 1,122.57 and 633.15

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Solution

The fourth proportional to 747.72, 1,122.57 and 633.15 is: 950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.72 : 1,122.57 = 633.15 : x
  2. Step 2: Convert to fraction form
    747.72/1,122.57 = 633.15/x
  3. Step 3: Cross multiply
    747.72x = 1,122.57 × 633.15
  4. Step 4: Simplify right side
    747.72x = 710,755.20
  5. Step 5: Solve for x
    x = 710,755.20/747.72
  6. Step 6: Final answer
    x = 950.56

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Why These Related Problems?

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