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Finding the Fourth Proportional to 878.57, 1,211.92 and 563.73

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Solution

The fourth proportional to 878.57, 1,211.92 and 563.73 is: 777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.57 : 1,211.92 = 563.73 : x
  2. Step 2: Convert to fraction form
    878.57/1,211.92 = 563.73/x
  3. Step 3: Cross multiply
    878.57x = 1,211.92 × 563.73
  4. Step 4: Simplify right side
    878.57x = 683,189.71
  5. Step 5: Solve for x
    x = 683,189.71/878.57
  6. Step 6: Final answer
    x = 777.62

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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.