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Finding the Fourth Proportional to 773.73, 1,161.12 and 427.32

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Solution

The fourth proportional to 773.73, 1,161.12 and 427.32 is: 641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.73 : 1,161.12 = 427.32 : x
  2. Step 2: Convert to fraction form
    773.73/1,161.12 = 427.32/x
  3. Step 3: Cross multiply
    773.73x = 1,161.12 × 427.32
  4. Step 4: Simplify right side
    773.73x = 496,169.80
  5. Step 5: Solve for x
    x = 496,169.80/773.73
  6. Step 6: Final answer
    x = 641.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.