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Finding the Fourth Proportional to 752.20, 1,126.86 and 443.52

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Solution

The fourth proportional to 752.20, 1,126.86 and 443.52 is: 664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.20 : 1,126.86 = 443.52 : x
  2. Step 2: Convert to fraction form
    752.20/1,126.86 = 443.52/x
  3. Step 3: Cross multiply
    752.20x = 1,126.86 × 443.52
  4. Step 4: Simplify right side
    752.20x = 499,784.95
  5. Step 5: Solve for x
    x = 499,784.95/752.20
  6. Step 6: Final answer
    x = 664.43

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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.