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Finding the Fourth Proportional to 728.24, 1,092.72 and 266.13

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Solution

The fourth proportional to 728.24, 1,092.72 and 266.13 is: 399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.24 : 1,092.72 = 266.13 : x
  2. Step 2: Convert to fraction form
    728.24/1,092.72 = 266.13/x
  3. Step 3: Cross multiply
    728.24x = 1,092.72 × 266.13
  4. Step 4: Simplify right side
    728.24x = 290,805.57
  5. Step 5: Solve for x
    x = 290,805.57/728.24
  6. Step 6: Final answer
    x = 399.33

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Why These Related Problems?

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