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Finding the Fourth Proportional to 782.38, 1,173.66 and 234.73

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Solution

The fourth proportional to 782.38, 1,173.66 and 234.73 is: 352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.38 : 1,173.66 = 234.73 : x
  2. Step 2: Convert to fraction form
    782.38/1,173.66 = 234.73/x
  3. Step 3: Cross multiply
    782.38x = 1,173.66 × 234.73
  4. Step 4: Simplify right side
    782.38x = 275,493.21
  5. Step 5: Solve for x
    x = 275,493.21/782.38
  6. Step 6: Final answer
    x = 352.12

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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.