Home / 1,213.11-1,819.98-519.82

Finding the Fourth Proportional to 1,213.11, 1,819.98 and 519.82

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Solution

The fourth proportional to 1,213.11, 1,819.98 and 519.82 is: 779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.11 : 1,819.98 = 519.82 : x
  2. Step 2: Convert to fraction form
    1,213.11/1,819.98 = 519.82/x
  3. Step 3: Cross multiply
    1,213.11x = 1,819.98 × 519.82
  4. Step 4: Simplify right side
    1,213.11x = 946,062.00
  5. Step 5: Solve for x
    x = 946,062.00/1,213.11
  6. Step 6: Final answer
    x = 779.86

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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.