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Finding the Fourth Proportional to 961.82, 1,441.82 and 467.92

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Solution

The fourth proportional to 961.82, 1,441.82 and 467.92 is: 701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.82 : 1,441.82 = 467.92 : x
  2. Step 2: Convert to fraction form
    961.82/1,441.82 = 467.92/x
  3. Step 3: Cross multiply
    961.82x = 1,441.82 × 467.92
  4. Step 4: Simplify right side
    961.82x = 674,650.38
  5. Step 5: Solve for x
    x = 674,650.38/961.82
  6. Step 6: Final answer
    x = 701.43

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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.