Home / 1,212.27-1,817.10-509.94

Finding the Fourth Proportional to 1,212.27, 1,817.10 and 509.94

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Solution

The fourth proportional to 1,212.27, 1,817.10 and 509.94 is: 764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.27 : 1,817.10 = 509.94 : x
  2. Step 2: Convert to fraction form
    1,212.27/1,817.10 = 509.94/x
  3. Step 3: Cross multiply
    1,212.27x = 1,817.10 × 509.94
  4. Step 4: Simplify right side
    1,212.27x = 926,611.97
  5. Step 5: Solve for x
    x = 926,611.97/1,212.27
  6. Step 6: Final answer
    x = 764.36

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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.