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Finding the Fourth Proportional to 752.97, 1,120.92 and 717.60

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Solution

The fourth proportional to 752.97, 1,120.92 and 717.60 is: 1,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.97 : 1,120.92 = 717.60 : x
  2. Step 2: Convert to fraction form
    752.97/1,120.92 = 717.60/x
  3. Step 3: Cross multiply
    752.97x = 1,120.92 × 717.60
  4. Step 4: Simplify right side
    752.97x = 804,372.19
  5. Step 5: Solve for x
    x = 804,372.19/752.97
  6. Step 6: Final answer
    x = 1,068.27

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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.