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Finding the Fourth Proportional to 1,129.48, 1,691.80 and 642.28

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Solution

The fourth proportional to 1,129.48, 1,691.80 and 642.28 is: 962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.48 : 1,691.80 = 642.28 : x
  2. Step 2: Convert to fraction form
    1,129.48/1,691.80 = 642.28/x
  3. Step 3: Cross multiply
    1,129.48x = 1,691.80 × 642.28
  4. Step 4: Simplify right side
    1,129.48x = 1,086,609.30
  5. Step 5: Solve for x
    x = 1,086,609.30/1,129.48
  6. Step 6: Final answer
    x = 962.04

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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.