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Finding the Fourth Proportional to 724.14, 996.30 and 704.97

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Solution

The fourth proportional to 724.14, 996.30 and 704.97 is: 969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 996.30 = 704.97 : x
  2. Step 2: Convert to fraction form
    724.14/996.30 = 704.97/x
  3. Step 3: Cross multiply
    724.14x = 996.30 × 704.97
  4. Step 4: Simplify right side
    724.14x = 702,361.61
  5. Step 5: Solve for x
    x = 702,361.61/724.14
  6. Step 6: Final answer
    x = 969.93

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Why These Related Problems?

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