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Finding the Fourth Proportional to 878.65, 1,212.83 and 616.73

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Solution

The fourth proportional to 878.65, 1,212.83 and 616.73 is: 851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.65 : 1,212.83 = 616.73 : x
  2. Step 2: Convert to fraction form
    878.65/1,212.83 = 616.73/x
  3. Step 3: Cross multiply
    878.65x = 1,212.83 × 616.73
  4. Step 4: Simplify right side
    878.65x = 747,985.56
  5. Step 5: Solve for x
    x = 747,985.56/878.65
  6. Step 6: Final answer
    x = 851.29

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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.