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Finding the Fourth Proportional to 878.20, 1,211.92 and 485.23

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Solution

The fourth proportional to 878.20, 1,211.92 and 485.23 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.20 : 1,211.92 = 485.23 : x
  2. Step 2: Convert to fraction form
    878.20/1,211.92 = 485.23/x
  3. Step 3: Cross multiply
    878.20x = 1,211.92 × 485.23
  4. Step 4: Simplify right side
    878.20x = 588,059.94
  5. Step 5: Solve for x
    x = 588,059.94/878.20
  6. Step 6: Final answer
    x = 669.62

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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.