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Finding the Fourth Proportional to 782.79, 1,079.77 and 517.23

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Solution

The fourth proportional to 782.79, 1,079.77 and 517.23 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.79 : 1,079.77 = 517.23 : x
  2. Step 2: Convert to fraction form
    782.79/1,079.77 = 517.23/x
  3. Step 3: Cross multiply
    782.79x = 1,079.77 × 517.23
  4. Step 4: Simplify right side
    782.79x = 558,489.44
  5. Step 5: Solve for x
    x = 558,489.44/782.79
  6. Step 6: Final answer
    x = 713.46

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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.