Home / 1,213.13-1,819.22-520.11

Finding the Fourth Proportional to 1,213.13, 1,819.22 and 520.11

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Solution

The fourth proportional to 1,213.13, 1,819.22 and 520.11 is: 779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.13 : 1,819.22 = 520.11 : x
  2. Step 2: Convert to fraction form
    1,213.13/1,819.22 = 520.11/x
  3. Step 3: Cross multiply
    1,213.13x = 1,819.22 × 520.11
  4. Step 4: Simplify right side
    1,213.13x = 946,191.91
  5. Step 5: Solve for x
    x = 946,191.91/1,213.13
  6. Step 6: Final answer
    x = 779.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.