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Finding the Fourth Proportional to 863.75, 1,294.73 and 401.41

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Solution

The fourth proportional to 863.75, 1,294.73 and 401.41 is: 601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.75 : 1,294.73 = 401.41 : x
  2. Step 2: Convert to fraction form
    863.75/1,294.73 = 401.41/x
  3. Step 3: Cross multiply
    863.75x = 1,294.73 × 401.41
  4. Step 4: Simplify right side
    863.75x = 519,717.57
  5. Step 5: Solve for x
    x = 519,717.57/863.75
  6. Step 6: Final answer
    x = 601.70

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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.