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Finding the Fourth Proportional to 752.60, 1,129.08 and 444.71

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Solution

The fourth proportional to 752.60, 1,129.08 and 444.71 is: 667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.60 : 1,129.08 = 444.71 : x
  2. Step 2: Convert to fraction form
    752.60/1,129.08 = 444.71/x
  3. Step 3: Cross multiply
    752.60x = 1,129.08 × 444.71
  4. Step 4: Simplify right side
    752.60x = 502,107.52
  5. Step 5: Solve for x
    x = 502,107.52/752.60
  6. Step 6: Final answer
    x = 667.17

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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.