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Finding the Fourth Proportional to 878.72, 1,213.20 and 564.14

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Solution

The fourth proportional to 878.72, 1,213.20 and 564.14 is: 778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.72 : 1,213.20 = 564.14 : x
  2. Step 2: Convert to fraction form
    878.72/1,213.20 = 564.14/x
  3. Step 3: Cross multiply
    878.72x = 1,213.20 × 564.14
  4. Step 4: Simplify right side
    878.72x = 684,417.68
  5. Step 5: Solve for x
    x = 684,417.68/878.72
  6. Step 6: Final answer
    x = 778.88

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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.