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Finding the Fourth Proportional to 1,331.38, 1,837 and 800.09

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Solution

The fourth proportional to 1,331.38, 1,837 and 800.09 is: 1,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.38 : 1,837 = 800.09 : x
  2. Step 2: Convert to fraction form
    1,331.38/1,837 = 800.09/x
  3. Step 3: Cross multiply
    1,331.38x = 1,837 × 800.09
  4. Step 4: Simplify right side
    1,331.38x = 1,469,765.33
  5. Step 5: Solve for x
    x = 1,469,765.33/1,331.38
  6. Step 6: Final answer
    x = 1,103.94

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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.