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Finding the Fourth Proportional to 766.10, 1,148.47 and 742.86

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Solution

The fourth proportional to 766.10, 1,148.47 and 742.86 is: 1,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.10 : 1,148.47 = 742.86 : x
  2. Step 2: Convert to fraction form
    766.10/1,148.47 = 742.86/x
  3. Step 3: Cross multiply
    766.10x = 1,148.47 × 742.86
  4. Step 4: Simplify right side
    766.10x = 853,150.57
  5. Step 5: Solve for x
    x = 853,150.57/766.10
  6. Step 6: Final answer
    x = 1,113.62

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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.