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Finding the Fourth Proportional to 752.63, 1,129.07 and 319.85

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Solution

The fourth proportional to 752.63, 1,129.07 and 319.85 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.63 : 1,129.07 = 319.85 : x
  2. Step 2: Convert to fraction form
    752.63/1,129.07 = 319.85/x
  3. Step 3: Cross multiply
    752.63x = 1,129.07 × 319.85
  4. Step 4: Simplify right side
    752.63x = 361,133.04
  5. Step 5: Solve for x
    x = 361,133.04/752.63
  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.