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Finding the Fourth Proportional to 908.71, 1,363.11 and 728.28

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Solution

The fourth proportional to 908.71, 1,363.11 and 728.28 is: 1,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.71 : 1,363.11 = 728.28 : x
  2. Step 2: Convert to fraction form
    908.71/1,363.11 = 728.28/x
  3. Step 3: Cross multiply
    908.71x = 1,363.11 × 728.28
  4. Step 4: Simplify right side
    908.71x = 992,725.75
  5. Step 5: Solve for x
    x = 992,725.75/908.71
  6. Step 6: Final answer
    x = 1,092.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.