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Finding the Fourth Proportional to 827.97, 1,241.61 and 519.36

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Solution

The fourth proportional to 827.97, 1,241.61 and 519.36 is: 778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.97 : 1,241.61 = 519.36 : x
  2. Step 2: Convert to fraction form
    827.97/1,241.61 = 519.36/x
  3. Step 3: Cross multiply
    827.97x = 1,241.61 × 519.36
  4. Step 4: Simplify right side
    827.97x = 644,842.57
  5. Step 5: Solve for x
    x = 644,842.57/827.97
  6. Step 6: Final answer
    x = 778.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.