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Finding the Fourth Proportional to 778.84, 1,074.42 and 516.52

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Solution

The fourth proportional to 778.84, 1,074.42 and 516.52 is: 712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.84 : 1,074.42 = 516.52 : x
  2. Step 2: Convert to fraction form
    778.84/1,074.42 = 516.52/x
  3. Step 3: Cross multiply
    778.84x = 1,074.42 × 516.52
  4. Step 4: Simplify right side
    778.84x = 554,959.42
  5. Step 5: Solve for x
    x = 554,959.42/778.84
  6. Step 6: Final answer
    x = 712.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.