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Finding the Fourth Proportional to 766.35, 1,149.50 and 534.57

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Solution

The fourth proportional to 766.35, 1,149.50 and 534.57 is: 801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.35 : 1,149.50 = 534.57 : x
  2. Step 2: Convert to fraction form
    766.35/1,149.50 = 534.57/x
  3. Step 3: Cross multiply
    766.35x = 1,149.50 × 534.57
  4. Step 4: Simplify right side
    766.35x = 614,485.54
  5. Step 5: Solve for x
    x = 614,485.54/766.35
  6. Step 6: Final answer
    x = 801.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.