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Finding the Fourth Proportional to 752.76, 1,129.14 and 560.52

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Solution

The fourth proportional to 752.76, 1,129.14 and 560.52 is: 840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.76 : 1,129.14 = 560.52 : x
  2. Step 2: Convert to fraction form
    752.76/1,129.14 = 560.52/x
  3. Step 3: Cross multiply
    752.76x = 1,129.14 × 560.52
  4. Step 4: Simplify right side
    752.76x = 632,905.55
  5. Step 5: Solve for x
    x = 632,905.55/752.76
  6. Step 6: Final answer
    x = 840.78

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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.