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Finding the Fourth Proportional to 782.33, 1,078.35 and 616.28

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Solution

The fourth proportional to 782.33, 1,078.35 and 616.28 is: 849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.33 : 1,078.35 = 616.28 : x
  2. Step 2: Convert to fraction form
    782.33/1,078.35 = 616.28/x
  3. Step 3: Cross multiply
    782.33x = 1,078.35 × 616.28
  4. Step 4: Simplify right side
    782.33x = 664,560.15
  5. Step 5: Solve for x
    x = 664,560.15/782.33
  6. Step 6: Final answer
    x = 849.47

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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.