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Finding the Fourth Proportional to 878.09, 1,317.35 and 261.78

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Solution

The fourth proportional to 878.09, 1,317.35 and 261.78 is: 392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.09 : 1,317.35 = 261.78 : x
  2. Step 2: Convert to fraction form
    878.09/1,317.35 = 261.78/x
  3. Step 3: Cross multiply
    878.09x = 1,317.35 × 261.78
  4. Step 4: Simplify right side
    878.09x = 344,854.57
  5. Step 5: Solve for x
    x = 344,854.57/878.09
  6. Step 6: Final answer
    x = 392.73

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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.