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Finding the Fourth Proportional to 758.92, 1,139.72 and 638.76

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Solution

The fourth proportional to 758.92, 1,139.72 and 638.76 is: 959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.92 : 1,139.72 = 638.76 : x
  2. Step 2: Convert to fraction form
    758.92/1,139.72 = 638.76/x
  3. Step 3: Cross multiply
    758.92x = 1,139.72 × 638.76
  4. Step 4: Simplify right side
    758.92x = 728,007.55
  5. Step 5: Solve for x
    x = 728,007.55/758.92
  6. Step 6: Final answer
    x = 959.27

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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.