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Finding the Fourth Proportional to 752.31, 1,128.61 and 319.46

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Solution

The fourth proportional to 752.31, 1,128.61 and 319.46 is: 479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.31 : 1,128.61 = 319.46 : x
  2. Step 2: Convert to fraction form
    752.31/1,128.61 = 319.46/x
  3. Step 3: Cross multiply
    752.31x = 1,128.61 × 319.46
  4. Step 4: Simplify right side
    752.31x = 360,545.75
  5. Step 5: Solve for x
    x = 360,545.75/752.31
  6. Step 6: Final answer
    x = 479.25

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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.