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Finding the Fourth Proportional to 938.27, 1,405.25 and 781.40

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Solution

The fourth proportional to 938.27, 1,405.25 and 781.40 is: 1,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.27 : 1,405.25 = 781.40 : x
  2. Step 2: Convert to fraction form
    938.27/1,405.25 = 781.40/x
  3. Step 3: Cross multiply
    938.27x = 1,405.25 × 781.40
  4. Step 4: Simplify right side
    938.27x = 1,098,058.44
  5. Step 5: Solve for x
    x = 1,098,058.44/938.27
  6. Step 6: Final answer
    x = 1,170.30

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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.