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Finding the Fourth Proportional to 826.87, 1,241.11 and 394.33

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Solution

The fourth proportional to 826.87, 1,241.11 and 394.33 is: 591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.87 : 1,241.11 = 394.33 : x
  2. Step 2: Convert to fraction form
    826.87/1,241.11 = 394.33/x
  3. Step 3: Cross multiply
    826.87x = 1,241.11 × 394.33
  4. Step 4: Simplify right side
    826.87x = 489,404.30
  5. Step 5: Solve for x
    x = 489,404.30/826.87
  6. Step 6: Final answer
    x = 591.88

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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.