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Finding the Fourth Proportional to 878.24, 1,214.16 and 768.80

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Solution

The fourth proportional to 878.24, 1,214.16 and 768.80 is: 1,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.24 : 1,214.16 = 768.80 : x
  2. Step 2: Convert to fraction form
    878.24/1,214.16 = 768.80/x
  3. Step 3: Cross multiply
    878.24x = 1,214.16 × 768.80
  4. Step 4: Simplify right side
    878.24x = 933,446.21
  5. Step 5: Solve for x
    x = 933,446.21/878.24
  6. Step 6: Final answer
    x = 1,062.86

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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.