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Finding the Fourth Proportional to 782.42, 1,079.26 and 516.86

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Solution

The fourth proportional to 782.42, 1,079.26 and 516.86 is: 712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.42 : 1,079.26 = 516.86 : x
  2. Step 2: Convert to fraction form
    782.42/1,079.26 = 516.86/x
  3. Step 3: Cross multiply
    782.42x = 1,079.26 × 516.86
  4. Step 4: Simplify right side
    782.42x = 557,823.68
  5. Step 5: Solve for x
    x = 557,823.68/782.42
  6. Step 6: Final answer
    x = 712.95

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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.