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Finding the Fourth Proportional to 878.12, 1,317.42 and 261.83

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Solution

The fourth proportional to 878.12, 1,317.42 and 261.83 is: 392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.12 : 1,317.42 = 261.83 : x
  2. Step 2: Convert to fraction form
    878.12/1,317.42 = 261.83/x
  3. Step 3: Cross multiply
    878.12x = 1,317.42 × 261.83
  4. Step 4: Simplify right side
    878.12x = 344,933.49
  5. Step 5: Solve for x
    x = 344,933.49/878.12
  6. Step 6: Final answer
    x = 392.81

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