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Finding the Fourth Proportional to 781.39, 1,171.50 and 261.09

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Solution

The fourth proportional to 781.39, 1,171.50 and 261.09 is: 391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.39 : 1,171.50 = 261.09 : x
  2. Step 2: Convert to fraction form
    781.39/1,171.50 = 261.09/x
  3. Step 3: Cross multiply
    781.39x = 1,171.50 × 261.09
  4. Step 4: Simplify right side
    781.39x = 305,861.56
  5. Step 5: Solve for x
    x = 305,861.56/781.39
  6. Step 6: Final answer
    x = 391.43

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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.