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Finding the Fourth Proportional to 878.69, 1,317.71 and 391.41

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Solution

The fourth proportional to 878.69, 1,317.71 and 391.41 is: 586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.69 : 1,317.71 = 391.41 : x
  2. Step 2: Convert to fraction form
    878.69/1,317.71 = 391.41/x
  3. Step 3: Cross multiply
    878.69x = 1,317.71 × 391.41
  4. Step 4: Simplify right side
    878.69x = 515,765.85
  5. Step 5: Solve for x
    x = 515,765.85/878.69
  6. Step 6: Final answer
    x = 586.97

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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.