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Finding the Fourth Proportional to 878, 1,211.76 and 645.44

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Solution

The fourth proportional to 878, 1,211.76 and 645.44 is: 890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    878 : 1,211.76 = 645.44 : x
  2. Step 2: Convert to fraction form
    878/1,211.76 = 645.44/x
  3. Step 3: Cross multiply
    878x = 1,211.76 × 645.44
  4. Step 4: Simplify right side
    878x = 782,118.37
  5. Step 5: Solve for x
    x = 782,118.37/878
  6. Step 6: Final answer
    x = 890.80

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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.