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Finding the Fourth Proportional to 752.20, 1,125.60 and 687.40

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Solution

The fourth proportional to 752.20, 1,125.60 and 687.40 is: 1,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.20 : 1,125.60 = 687.40 : x
  2. Step 2: Convert to fraction form
    752.20/1,125.60 = 687.40/x
  3. Step 3: Cross multiply
    752.20x = 1,125.60 × 687.40
  4. Step 4: Simplify right side
    752.20x = 773,737.44
  5. Step 5: Solve for x
    x = 773,737.44/752.20
  6. Step 6: Final answer
    x = 1,028.63

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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.