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Finding the Fourth Proportional to 1,213.89, 1,819.16 and 520.22

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Solution

The fourth proportional to 1,213.89, 1,819.16 and 520.22 is: 779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.89 : 1,819.16 = 520.22 : x
  2. Step 2: Convert to fraction form
    1,213.89/1,819.16 = 520.22/x
  3. Step 3: Cross multiply
    1,213.89x = 1,819.16 × 520.22
  4. Step 4: Simplify right side
    1,213.89x = 946,367.31
  5. Step 5: Solve for x
    x = 946,367.31/1,213.89
  6. Step 6: Final answer
    x = 779.62

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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.