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Finding the Fourth Proportional to 979.73, 1,469.45 and 321.61

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Solution

The fourth proportional to 979.73, 1,469.45 and 321.61 is: 482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.73 : 1,469.45 = 321.61 : x
  2. Step 2: Convert to fraction form
    979.73/1,469.45 = 321.61/x
  3. Step 3: Cross multiply
    979.73x = 1,469.45 × 321.61
  4. Step 4: Simplify right side
    979.73x = 472,589.81
  5. Step 5: Solve for x
    x = 472,589.81/979.73
  6. Step 6: Final answer
    x = 482.37

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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.