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Finding the Fourth Proportional to 752.83, 1,129.92 and 444.96

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Solution

The fourth proportional to 752.83, 1,129.92 and 444.96 is: 667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.83 : 1,129.92 = 444.96 : x
  2. Step 2: Convert to fraction form
    752.83/1,129.92 = 444.96/x
  3. Step 3: Cross multiply
    752.83x = 1,129.92 × 444.96
  4. Step 4: Simplify right side
    752.83x = 502,769.20
  5. Step 5: Solve for x
    x = 502,769.20/752.83
  6. Step 6: Final answer
    x = 667.84

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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.