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Finding the Fourth Proportional to 773.25, 1,159.79 and 196.13

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Solution

The fourth proportional to 773.25, 1,159.79 and 196.13 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.25 : 1,159.79 = 196.13 : x
  2. Step 2: Convert to fraction form
    773.25/1,159.79 = 196.13/x
  3. Step 3: Cross multiply
    773.25x = 1,159.79 × 196.13
  4. Step 4: Simplify right side
    773.25x = 227,469.61
  5. Step 5: Solve for x
    x = 227,469.61/773.25
  6. Step 6: Final answer
    x = 294.17

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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.