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Finding the Fourth Proportional to 774.81, 1,162.17 and 197.70

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Solution

The fourth proportional to 774.81, 1,162.17 and 197.70 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.81 : 1,162.17 = 197.70 : x
  2. Step 2: Convert to fraction form
    774.81/1,162.17 = 197.70/x
  3. Step 3: Cross multiply
    774.81x = 1,162.17 × 197.70
  4. Step 4: Simplify right side
    774.81x = 229,761.01
  5. Step 5: Solve for x
    x = 229,761.01/774.81
  6. Step 6: Final answer
    x = 296.54

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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.