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Finding the Fourth Proportional to 774.92, 1,162.29 and 197.78

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Solution

The fourth proportional to 774.92, 1,162.29 and 197.78 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.92 : 1,162.29 = 197.78 : x
  2. Step 2: Convert to fraction form
    774.92/1,162.29 = 197.78/x
  3. Step 3: Cross multiply
    774.92x = 1,162.29 × 197.78
  4. Step 4: Simplify right side
    774.92x = 229,877.72
  5. Step 5: Solve for x
    x = 229,877.72/774.92
  6. Step 6: Final answer
    x = 296.65

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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.