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Finding the Fourth Proportional to 979.42, 1,466.49 and 516.23

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Solution

The fourth proportional to 979.42, 1,466.49 and 516.23 is: 772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.42 : 1,466.49 = 516.23 : x
  2. Step 2: Convert to fraction form
    979.42/1,466.49 = 516.23/x
  3. Step 3: Cross multiply
    979.42x = 1,466.49 × 516.23
  4. Step 4: Simplify right side
    979.42x = 757,046.13
  5. Step 5: Solve for x
    x = 757,046.13/979.42
  6. Step 6: Final answer
    x = 772.96

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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.