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Finding the Fourth Proportional to 863.98, 1,294.25 and 401.13

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Solution

The fourth proportional to 863.98, 1,294.25 and 401.13 is: 600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.98 : 1,294.25 = 401.13 : x
  2. Step 2: Convert to fraction form
    863.98/1,294.25 = 401.13/x
  3. Step 3: Cross multiply
    863.98x = 1,294.25 × 401.13
  4. Step 4: Simplify right side
    863.98x = 519,160.50
  5. Step 5: Solve for x
    x = 519,160.50/863.98
  6. Step 6: Final answer
    x = 600.90

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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.