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Finding the Fourth Proportional to 723.97, 998.81 and 654.13

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Solution

The fourth proportional to 723.97, 998.81 and 654.13 is: 902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.97 : 998.81 = 654.13 : x
  2. Step 2: Convert to fraction form
    723.97/998.81 = 654.13/x
  3. Step 3: Cross multiply
    723.97x = 998.81 × 654.13
  4. Step 4: Simplify right side
    723.97x = 653,346.59
  5. Step 5: Solve for x
    x = 653,346.59/723.97
  6. Step 6: Final answer
    x = 902.46

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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.