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Finding the Fourth Proportional to 752.72, 1,036.68 and 698.96

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Solution

The fourth proportional to 752.72, 1,036.68 and 698.96 is: 962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.72 : 1,036.68 = 698.96 : x
  2. Step 2: Convert to fraction form
    752.72/1,036.68 = 698.96/x
  3. Step 3: Cross multiply
    752.72x = 1,036.68 × 698.96
  4. Step 4: Simplify right side
    752.72x = 724,597.85
  5. Step 5: Solve for x
    x = 724,597.85/752.72
  6. Step 6: Final answer
    x = 962.64

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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.