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Finding the Fourth Proportional to 878.60, 1,211.01 and 616.16

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Solution

The fourth proportional to 878.60, 1,211.01 and 616.16 is: 849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.60 : 1,211.01 = 616.16 : x
  2. Step 2: Convert to fraction form
    878.60/1,211.01 = 616.16/x
  3. Step 3: Cross multiply
    878.60x = 1,211.01 × 616.16
  4. Step 4: Simplify right side
    878.60x = 746,175.92
  5. Step 5: Solve for x
    x = 746,175.92/878.60
  6. Step 6: Final answer
    x = 849.28

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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.