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Finding the Fourth Proportional to 979.20, 1,467.24 and 516.96

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Solution

The fourth proportional to 979.20, 1,467.24 and 516.96 is: 774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.20 : 1,467.24 = 516.96 : x
  2. Step 2: Convert to fraction form
    979.20/1,467.24 = 516.96/x
  3. Step 3: Cross multiply
    979.20x = 1,467.24 × 516.96
  4. Step 4: Simplify right side
    979.20x = 758,504.39
  5. Step 5: Solve for x
    x = 758,504.39/979.20
  6. Step 6: Final answer
    x = 774.62

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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.