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Finding the Fourth Proportional to 793.26, 1,092.99 and 571.83

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Solution

The fourth proportional to 793.26, 1,092.99 and 571.83 is: 787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.26 : 1,092.99 = 571.83 : x
  2. Step 2: Convert to fraction form
    793.26/1,092.99 = 571.83/x
  3. Step 3: Cross multiply
    793.26x = 1,092.99 × 571.83
  4. Step 4: Simplify right side
    793.26x = 625,002.52
  5. Step 5: Solve for x
    x = 625,002.52/793.26
  6. Step 6: Final answer
    x = 787.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.