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Finding the Fourth Proportional to 878.89, 1,213.31 and 564.62

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Solution

The fourth proportional to 878.89, 1,213.31 and 564.62 is: 779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.89 : 1,213.31 = 564.62 : x
  2. Step 2: Convert to fraction form
    878.89/1,213.31 = 564.62/x
  3. Step 3: Cross multiply
    878.89x = 1,213.31 × 564.62
  4. Step 4: Simplify right side
    878.89x = 685,050.20
  5. Step 5: Solve for x
    x = 685,050.20/878.89
  6. Step 6: Final answer
    x = 779.45

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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.