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Finding the Fourth Proportional to 878.11, 1,211.60 and 523.87

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Solution

The fourth proportional to 878.11, 1,211.60 and 523.87 is: 722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.11 : 1,211.60 = 523.87 : x
  2. Step 2: Convert to fraction form
    878.11/1,211.60 = 523.87/x
  3. Step 3: Cross multiply
    878.11x = 1,211.60 × 523.87
  4. Step 4: Simplify right side
    878.11x = 634,723.72
  5. Step 5: Solve for x
    x = 634,723.72/878.11
  6. Step 6: Final answer
    x = 722.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.