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Finding the Fourth Proportional to 961.54, 1,327.12 and 563.28

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Solution

The fourth proportional to 961.54, 1,327.12 and 563.28 is: 777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.54 : 1,327.12 = 563.28 : x
  2. Step 2: Convert to fraction form
    961.54/1,327.12 = 563.28/x
  3. Step 3: Cross multiply
    961.54x = 1,327.12 × 563.28
  4. Step 4: Simplify right side
    961.54x = 747,540.15
  5. Step 5: Solve for x
    x = 747,540.15/961.54
  6. Step 6: Final answer
    x = 777.44

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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.