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Finding the Fourth Proportional to 769.92, 1,157.28 and 731.52

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Solution

The fourth proportional to 769.92, 1,157.28 and 731.52 is: 1,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.92 : 1,157.28 = 731.52 : x
  2. Step 2: Convert to fraction form
    769.92/1,157.28 = 731.52/x
  3. Step 3: Cross multiply
    769.92x = 1,157.28 × 731.52
  4. Step 4: Simplify right side
    769.92x = 846,573.47
  5. Step 5: Solve for x
    x = 846,573.47/769.92
  6. Step 6: Final answer
    x = 1,099.56

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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.