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Finding the Fourth Proportional to 961.86, 1,327.38 and 563.43

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Solution

The fourth proportional to 961.86, 1,327.38 and 563.43 is: 777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.86 : 1,327.38 = 563.43 : x
  2. Step 2: Convert to fraction form
    961.86/1,327.38 = 563.43/x
  3. Step 3: Cross multiply
    961.86x = 1,327.38 × 563.43
  4. Step 4: Simplify right side
    961.86x = 747,882.90
  5. Step 5: Solve for x
    x = 747,882.90/961.86
  6. Step 6: Final answer
    x = 777.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.