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Finding the Fourth Proportional to 732.03, 1,001.45 and 728.92

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Solution

The fourth proportional to 732.03, 1,001.45 and 728.92 is: 997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.03 : 1,001.45 = 728.92 : x
  2. Step 2: Convert to fraction form
    732.03/1,001.45 = 728.92/x
  3. Step 3: Cross multiply
    732.03x = 1,001.45 × 728.92
  4. Step 4: Simplify right side
    732.03x = 729,976.93
  5. Step 5: Solve for x
    x = 729,976.93/732.03
  6. Step 6: Final answer
    x = 997.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.