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Finding the Fourth Proportional to 766.48, 1,143.87 and 747.04

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Solution

The fourth proportional to 766.48, 1,143.87 and 747.04 is: 1,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.48 : 1,143.87 = 747.04 : x
  2. Step 2: Convert to fraction form
    766.48/1,143.87 = 747.04/x
  3. Step 3: Cross multiply
    766.48x = 1,143.87 × 747.04
  4. Step 4: Simplify right side
    766.48x = 854,516.64
  5. Step 5: Solve for x
    x = 854,516.64/766.48
  6. Step 6: Final answer
    x = 1,114.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.