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Finding the Fourth Proportional to 729.44, 1,092.88 and 613.76

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Solution

The fourth proportional to 729.44, 1,092.88 and 613.76 is: 919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.44 : 1,092.88 = 613.76 : x
  2. Step 2: Convert to fraction form
    729.44/1,092.88 = 613.76/x
  3. Step 3: Cross multiply
    729.44x = 1,092.88 × 613.76
  4. Step 4: Simplify right side
    729.44x = 670,766.03
  5. Step 5: Solve for x
    x = 670,766.03/729.44
  6. Step 6: Final answer
    x = 919.56

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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.