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Finding the Fourth Proportional to 774.97, 1,162.46 and 197.85

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Solution

The fourth proportional to 774.97, 1,162.46 and 197.85 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.97 : 1,162.46 = 197.85 : x
  2. Step 2: Convert to fraction form
    774.97/1,162.46 = 197.85/x
  3. Step 3: Cross multiply
    774.97x = 1,162.46 × 197.85
  4. Step 4: Simplify right side
    774.97x = 229,992.71
  5. Step 5: Solve for x
    x = 229,992.71/774.97
  6. Step 6: Final answer
    x = 296.78

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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.