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Finding the Fourth Proportional to 729, 1,092.04 and 362.68

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Solution

The fourth proportional to 729, 1,092.04 and 362.68 is: 543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,092.04 = 362.68 : x
  2. Step 2: Convert to fraction form
    729/1,092.04 = 362.68/x
  3. Step 3: Cross multiply
    729x = 1,092.04 × 362.68
  4. Step 4: Simplify right side
    729x = 396,061.07
  5. Step 5: Solve for x
    x = 396,061.07/729
  6. Step 6: Final answer
    x = 543.29

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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.