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Finding the Fourth Proportional to 961.43, 1,443.13 and 852.42

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Solution

The fourth proportional to 961.43, 1,443.13 and 852.42 is: 1,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.43 : 1,443.13 = 852.42 : x
  2. Step 2: Convert to fraction form
    961.43/1,443.13 = 852.42/x
  3. Step 3: Cross multiply
    961.43x = 1,443.13 × 852.42
  4. Step 4: Simplify right side
    961.43x = 1,230,148.61
  5. Step 5: Solve for x
    x = 1,230,148.61/961.43
  6. Step 6: Final answer
    x = 1,279.50

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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.