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Finding the Fourth Proportional to 752.13, 1,126.46 and 726.18

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Solution

The fourth proportional to 752.13, 1,126.46 and 726.18 is: 1,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.13 : 1,126.46 = 726.18 : x
  2. Step 2: Convert to fraction form
    752.13/1,126.46 = 726.18/x
  3. Step 3: Cross multiply
    752.13x = 1,126.46 × 726.18
  4. Step 4: Simplify right side
    752.13x = 818,012.72
  5. Step 5: Solve for x
    x = 818,012.72/752.13
  6. Step 6: Final answer
    x = 1,087.59

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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.