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Finding the Fourth Proportional to 728.13, 1,092.47 and 381.45

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Solution

The fourth proportional to 728.13, 1,092.47 and 381.45 is: 572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.13 : 1,092.47 = 381.45 : x
  2. Step 2: Convert to fraction form
    728.13/1,092.47 = 381.45/x
  3. Step 3: Cross multiply
    728.13x = 1,092.47 × 381.45
  4. Step 4: Simplify right side
    728.13x = 416,722.68
  5. Step 5: Solve for x
    x = 416,722.68/728.13
  6. Step 6: Final answer
    x = 572.32

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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.