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Finding the Fourth Proportional to 752.47, 1,128.61 and 319.73

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Solution

The fourth proportional to 752.47, 1,128.61 and 319.73 is: 479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.47 : 1,128.61 = 319.73 : x
  2. Step 2: Convert to fraction form
    752.47/1,128.61 = 319.73/x
  3. Step 3: Cross multiply
    752.47x = 1,128.61 × 319.73
  4. Step 4: Simplify right side
    752.47x = 360,850.48
  5. Step 5: Solve for x
    x = 360,850.48/752.47
  6. Step 6: Final answer
    x = 479.55

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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.