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Finding the Fourth Proportional to 979.54, 1,466.68 and 516.36

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Solution

The fourth proportional to 979.54, 1,466.68 and 516.36 is: 773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.54 : 1,466.68 = 516.36 : x
  2. Step 2: Convert to fraction form
    979.54/1,466.68 = 516.36/x
  3. Step 3: Cross multiply
    979.54x = 1,466.68 × 516.36
  4. Step 4: Simplify right side
    979.54x = 757,326.26
  5. Step 5: Solve for x
    x = 757,326.26/979.54
  6. Step 6: Final answer
    x = 773.14

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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.