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Finding the Fourth Proportional to 729.59, 1,092.47 and 582.66

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Solution

The fourth proportional to 729.59, 1,092.47 and 582.66 is: 872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.59 : 1,092.47 = 582.66 : x
  2. Step 2: Convert to fraction form
    729.59/1,092.47 = 582.66/x
  3. Step 3: Cross multiply
    729.59x = 1,092.47 × 582.66
  4. Step 4: Simplify right side
    729.59x = 636,535.66
  5. Step 5: Solve for x
    x = 636,535.66/729.59
  6. Step 6: Final answer
    x = 872.46

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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.