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Finding the Fourth Proportional to 878.86, 1,213.23 and 658.54

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Solution

The fourth proportional to 878.86, 1,213.23 and 658.54 is: 909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.86 : 1,213.23 = 658.54 : x
  2. Step 2: Convert to fraction form
    878.86/1,213.23 = 658.54/x
  3. Step 3: Cross multiply
    878.86x = 1,213.23 × 658.54
  4. Step 4: Simplify right side
    878.86x = 798,960.48
  5. Step 5: Solve for x
    x = 798,960.48/878.86
  6. Step 6: Final answer
    x = 909.09

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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.