Home / 1,212.81-1,819.52-519.14

Finding the Fourth Proportional to 1,212.81, 1,819.52 and 519.14

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Solution

The fourth proportional to 1,212.81, 1,819.52 and 519.14 is: 778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.81 : 1,819.52 = 519.14 : x
  2. Step 2: Convert to fraction form
    1,212.81/1,819.52 = 519.14/x
  3. Step 3: Cross multiply
    1,212.81x = 1,819.52 × 519.14
  4. Step 4: Simplify right side
    1,212.81x = 944,585.61
  5. Step 5: Solve for x
    x = 944,585.61/1,212.81
  6. Step 6: Final answer
    x = 778.84

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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.