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Finding the Fourth Proportional to 778.84, 1,074.46 and 516.40

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Solution

The fourth proportional to 778.84, 1,074.46 and 516.40 is: 712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.84 : 1,074.46 = 516.40 : x
  2. Step 2: Convert to fraction form
    778.84/1,074.46 = 516.40/x
  3. Step 3: Cross multiply
    778.84x = 1,074.46 × 516.40
  4. Step 4: Simplify right side
    778.84x = 554,851.14
  5. Step 5: Solve for x
    x = 554,851.14/778.84
  6. Step 6: Final answer
    x = 712.41

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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.