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Finding the Fourth Proportional to 774.24, 1,162.17 and 466.85

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Solution

The fourth proportional to 774.24, 1,162.17 and 466.85 is: 700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.24 : 1,162.17 = 466.85 : x
  2. Step 2: Convert to fraction form
    774.24/1,162.17 = 466.85/x
  3. Step 3: Cross multiply
    774.24x = 1,162.17 × 466.85
  4. Step 4: Simplify right side
    774.24x = 542,553.25
  5. Step 5: Solve for x
    x = 542,553.25/774.24
  6. Step 6: Final answer
    x = 700.76

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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.