Home / 1,213.24-1,819.87-564.44

Finding the Fourth Proportional to 1,213.24, 1,819.87 and 564.44

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Solution

The fourth proportional to 1,213.24, 1,819.87 and 564.44 is: 846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.24 : 1,819.87 = 564.44 : x
  2. Step 2: Convert to fraction form
    1,213.24/1,819.87 = 564.44/x
  3. Step 3: Cross multiply
    1,213.24x = 1,819.87 × 564.44
  4. Step 4: Simplify right side
    1,213.24x = 1,027,207.42
  5. Step 5: Solve for x
    x = 1,027,207.42/1,213.24
  6. Step 6: Final answer
    x = 846.66

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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.