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Finding the Fourth Proportional to 827.29, 1,142.36 and 591.97

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Solution

The fourth proportional to 827.29, 1,142.36 and 591.97 is: 817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.29 : 1,142.36 = 591.97 : x
  2. Step 2: Convert to fraction form
    827.29/1,142.36 = 591.97/x
  3. Step 3: Cross multiply
    827.29x = 1,142.36 × 591.97
  4. Step 4: Simplify right side
    827.29x = 676,242.85
  5. Step 5: Solve for x
    x = 676,242.85/827.29
  6. Step 6: Final answer
    x = 817.42

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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.