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Finding the Fourth Proportional to 778.57, 1,164.66 and 516.13

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Solution

The fourth proportional to 778.57, 1,164.66 and 516.13 is: 772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.57 : 1,164.66 = 516.13 : x
  2. Step 2: Convert to fraction form
    778.57/1,164.66 = 516.13/x
  3. Step 3: Cross multiply
    778.57x = 1,164.66 × 516.13
  4. Step 4: Simplify right side
    778.57x = 601,115.97
  5. Step 5: Solve for x
    x = 601,115.97/778.57
  6. Step 6: Final answer
    x = 772.08

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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.