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Finding the Fourth Proportional to 938.38, 1,400.75 and 861.34

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Solution

The fourth proportional to 938.38, 1,400.75 and 861.34 is: 1,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.38 : 1,400.75 = 861.34 : x
  2. Step 2: Convert to fraction form
    938.38/1,400.75 = 861.34/x
  3. Step 3: Cross multiply
    938.38x = 1,400.75 × 861.34
  4. Step 4: Simplify right side
    938.38x = 1,206,522.01
  5. Step 5: Solve for x
    x = 1,206,522.01/938.38
  6. Step 6: Final answer
    x = 1,285.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.