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Finding the Fourth Proportional to 837.83, 1,257.17 and 344.60

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Solution

The fourth proportional to 837.83, 1,257.17 and 344.60 is: 517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.83 : 1,257.17 = 344.60 : x
  2. Step 2: Convert to fraction form
    837.83/1,257.17 = 344.60/x
  3. Step 3: Cross multiply
    837.83x = 1,257.17 × 344.60
  4. Step 4: Simplify right side
    837.83x = 433,220.78
  5. Step 5: Solve for x
    x = 433,220.78/837.83
  6. Step 6: Final answer
    x = 517.07

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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.