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Finding the Fourth Proportional to 961.94, 1,327.57 and 563.74

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Solution

The fourth proportional to 961.94, 1,327.57 and 563.74 is: 778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.94 : 1,327.57 = 563.74 : x
  2. Step 2: Convert to fraction form
    961.94/1,327.57 = 563.74/x
  3. Step 3: Cross multiply
    961.94x = 1,327.57 × 563.74
  4. Step 4: Simplify right side
    961.94x = 748,399.58
  5. Step 5: Solve for x
    x = 748,399.58/961.94
  6. Step 6: Final answer
    x = 778.01

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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.