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Finding the Fourth Proportional to 961.78, 1,327.47 and 563.62

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Solution

The fourth proportional to 961.78, 1,327.47 and 563.62 is: 777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.78 : 1,327.47 = 563.62 : x
  2. Step 2: Convert to fraction form
    961.78/1,327.47 = 563.62/x
  3. Step 3: Cross multiply
    961.78x = 1,327.47 × 563.62
  4. Step 4: Simplify right side
    961.78x = 748,188.64
  5. Step 5: Solve for x
    x = 748,188.64/961.78
  6. Step 6: Final answer
    x = 777.92

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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.