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Finding the Fourth Proportional to 728.66, 1,092.08 and 381.81

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Solution

The fourth proportional to 728.66, 1,092.08 and 381.81 is: 572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.66 : 1,092.08 = 381.81 : x
  2. Step 2: Convert to fraction form
    728.66/1,092.08 = 381.81/x
  3. Step 3: Cross multiply
    728.66x = 1,092.08 × 381.81
  4. Step 4: Simplify right side
    728.66x = 416,965.16
  5. Step 5: Solve for x
    x = 416,965.16/728.66
  6. Step 6: Final answer
    x = 572.24

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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.