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Finding the Fourth Proportional to 729.34, 1,092.09 and 582.41

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Solution

The fourth proportional to 729.34, 1,092.09 and 582.41 is: 872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.34 : 1,092.09 = 582.41 : x
  2. Step 2: Convert to fraction form
    729.34/1,092.09 = 582.41/x
  3. Step 3: Cross multiply
    729.34x = 1,092.09 × 582.41
  4. Step 4: Simplify right side
    729.34x = 636,044.14
  5. Step 5: Solve for x
    x = 636,044.14/729.34
  6. Step 6: Final answer
    x = 872.08

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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.