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Finding the Fourth Proportional to 878.10, 1,317.18 and 261.80

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Solution

The fourth proportional to 878.10, 1,317.18 and 261.80 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.10 : 1,317.18 = 261.80 : x
  2. Step 2: Convert to fraction form
    878.10/1,317.18 = 261.80/x
  3. Step 3: Cross multiply
    878.10x = 1,317.18 × 261.80
  4. Step 4: Simplify right side
    878.10x = 344,837.72
  5. Step 5: Solve for x
    x = 344,837.72/878.10
  6. Step 6: Final answer
    x = 392.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.