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Finding the Fourth Proportional to 778.44, 1,074.42 and 516.54

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Solution

The fourth proportional to 778.44, 1,074.42 and 516.54 is: 712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.44 : 1,074.42 = 516.54 : x
  2. Step 2: Convert to fraction form
    778.44/1,074.42 = 516.54/x
  3. Step 3: Cross multiply
    778.44x = 1,074.42 × 516.54
  4. Step 4: Simplify right side
    778.44x = 554,980.91
  5. Step 5: Solve for x
    x = 554,980.91/778.44
  6. Step 6: Final answer
    x = 712.94

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