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Finding the Fourth Proportional to 752.73, 1,129.10 and 319.89

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Solution

The fourth proportional to 752.73, 1,129.10 and 319.89 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.73 : 1,129.10 = 319.89 : x
  2. Step 2: Convert to fraction form
    752.73/1,129.10 = 319.89/x
  3. Step 3: Cross multiply
    752.73x = 1,129.10 × 319.89
  4. Step 4: Simplify right side
    752.73x = 361,182.72
  5. Step 5: Solve for x
    x = 361,182.72/752.73
  6. Step 6: Final answer
    x = 479.83

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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.