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Finding the Fourth Proportional to 782.94, 1,079.22 and 616.89

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Solution

The fourth proportional to 782.94, 1,079.22 and 616.89 is: 850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.94 : 1,079.22 = 616.89 : x
  2. Step 2: Convert to fraction form
    782.94/1,079.22 = 616.89/x
  3. Step 3: Cross multiply
    782.94x = 1,079.22 × 616.89
  4. Step 4: Simplify right side
    782.94x = 665,760.03
  5. Step 5: Solve for x
    x = 665,760.03/782.94
  6. Step 6: Final answer
    x = 850.33

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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.