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Finding the Fourth Proportional to 752.60, 1,120.46 and 749

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Solution

The fourth proportional to 752.60, 1,120.46 and 749 is: 1,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.60 : 1,120.46 = 749 : x
  2. Step 2: Convert to fraction form
    752.60/1,120.46 = 749/x
  3. Step 3: Cross multiply
    752.60x = 1,120.46 × 749
  4. Step 4: Simplify right side
    752.60x = 839,224.54
  5. Step 5: Solve for x
    x = 839,224.54/752.60
  6. Step 6: Final answer
    x = 1,115.10

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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.