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Finding the Fourth Proportional to 878.85, 1,211.49 and 682.02

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Solution

The fourth proportional to 878.85, 1,211.49 and 682.02 is: 940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.85 : 1,211.49 = 682.02 : x
  2. Step 2: Convert to fraction form
    878.85/1,211.49 = 682.02/x
  3. Step 3: Cross multiply
    878.85x = 1,211.49 × 682.02
  4. Step 4: Simplify right side
    878.85x = 826,260.41
  5. Step 5: Solve for x
    x = 826,260.41/878.85
  6. Step 6: Final answer
    x = 940.16

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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.