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Finding the Fourth Proportional to 729.33, 1,092.63 and 363.69

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Solution

The fourth proportional to 729.33, 1,092.63 and 363.69 is: 544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.33 : 1,092.63 = 363.69 : x
  2. Step 2: Convert to fraction form
    729.33/1,092.63 = 363.69/x
  3. Step 3: Cross multiply
    729.33x = 1,092.63 × 363.69
  4. Step 4: Simplify right side
    729.33x = 397,378.60
  5. Step 5: Solve for x
    x = 397,378.60/729.33
  6. Step 6: Final answer
    x = 544.85

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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.