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Finding the Fourth Proportional to 878.41, 1,211.90 and 563.65

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Solution

The fourth proportional to 878.41, 1,211.90 and 563.65 is: 777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.41 : 1,211.90 = 563.65 : x
  2. Step 2: Convert to fraction form
    878.41/1,211.90 = 563.65/x
  3. Step 3: Cross multiply
    878.41x = 1,211.90 × 563.65
  4. Step 4: Simplify right side
    878.41x = 683,087.44
  5. Step 5: Solve for x
    x = 683,087.44/878.41
  6. Step 6: Final answer
    x = 777.64

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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.