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Finding the Fourth Proportional to 961.76, 1,327.14 and 563.47

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Solution

The fourth proportional to 961.76, 1,327.14 and 563.47 is: 777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.76 : 1,327.14 = 563.47 : x
  2. Step 2: Convert to fraction form
    961.76/1,327.14 = 563.47/x
  3. Step 3: Cross multiply
    961.76x = 1,327.14 × 563.47
  4. Step 4: Simplify right side
    961.76x = 747,794.12
  5. Step 5: Solve for x
    x = 747,794.12/961.76
  6. Step 6: Final answer
    x = 777.53

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