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Finding the Fourth Proportional to 961.38, 1,440.81 and 412.90

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Solution

The fourth proportional to 961.38, 1,440.81 and 412.90 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.38 : 1,440.81 = 412.90 : x
  2. Step 2: Convert to fraction form
    961.38/1,440.81 = 412.90/x
  3. Step 3: Cross multiply
    961.38x = 1,440.81 × 412.90
  4. Step 4: Simplify right side
    961.38x = 594,906.85
  5. Step 5: Solve for x
    x = 594,906.85/961.38
  6. Step 6: Final answer
    x = 618.81

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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.