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Finding the Fourth Proportional to 728.87, 1,092.33 and 362.93

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Solution

The fourth proportional to 728.87, 1,092.33 and 362.93 is: 543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.87 : 1,092.33 = 362.93 : x
  2. Step 2: Convert to fraction form
    728.87/1,092.33 = 362.93/x
  3. Step 3: Cross multiply
    728.87x = 1,092.33 × 362.93
  4. Step 4: Simplify right side
    728.87x = 396,433.87
  5. Step 5: Solve for x
    x = 396,433.87/728.87
  6. Step 6: Final answer
    x = 543.91

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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.