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Finding the Fourth Proportional to 752.56, 1,036.27 and 708.72

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Solution

The fourth proportional to 752.56, 1,036.27 and 708.72 is: 975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.56 : 1,036.27 = 708.72 : x
  2. Step 2: Convert to fraction form
    752.56/1,036.27 = 708.72/x
  3. Step 3: Cross multiply
    752.56x = 1,036.27 × 708.72
  4. Step 4: Simplify right side
    752.56x = 734,425.27
  5. Step 5: Solve for x
    x = 734,425.27/752.56
  6. Step 6: Final answer
    x = 975.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.