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Finding the Fourth Proportional to 728.11, 1,005.92 and 722.64

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Solution

The fourth proportional to 728.11, 1,005.92 and 722.64 is: 998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.11 : 1,005.92 = 722.64 : x
  2. Step 2: Convert to fraction form
    728.11/1,005.92 = 722.64/x
  3. Step 3: Cross multiply
    728.11x = 1,005.92 × 722.64
  4. Step 4: Simplify right side
    728.11x = 726,920.90
  5. Step 5: Solve for x
    x = 726,920.90/728.11
  6. Step 6: Final answer
    x = 998.37

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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.