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Finding the Fourth Proportional to 782.20, 1,079.17 and 516.77

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Solution

The fourth proportional to 782.20, 1,079.17 and 516.77 is: 712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.20 : 1,079.17 = 516.77 : x
  2. Step 2: Convert to fraction form
    782.20/1,079.17 = 516.77/x
  3. Step 3: Cross multiply
    782.20x = 1,079.17 × 516.77
  4. Step 4: Simplify right side
    782.20x = 557,674.70
  5. Step 5: Solve for x
    x = 557,674.70/782.20
  6. Step 6: Final answer
    x = 712.96

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1.5x scale

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.