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Finding the Fourth Proportional to 1,132.10, 1,562.31 and 634.85

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Solution

The fourth proportional to 1,132.10, 1,562.31 and 634.85 is: 876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.10 : 1,562.31 = 634.85 : x
  2. Step 2: Convert to fraction form
    1,132.10/1,562.31 = 634.85/x
  3. Step 3: Cross multiply
    1,132.10x = 1,562.31 × 634.85
  4. Step 4: Simplify right side
    1,132.10x = 991,824.69
  5. Step 5: Solve for x
    x = 991,824.69/1,132.10
  6. Step 6: Final answer
    x = 876.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.