Home / 1,219.27-1,828.12-516.11

Finding the Fourth Proportional to 1,219.27, 1,828.12 and 516.11

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Solution

The fourth proportional to 1,219.27, 1,828.12 and 516.11 is: 773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.27 : 1,828.12 = 516.11 : x
  2. Step 2: Convert to fraction form
    1,219.27/1,828.12 = 516.11/x
  3. Step 3: Cross multiply
    1,219.27x = 1,828.12 × 516.11
  4. Step 4: Simplify right side
    1,219.27x = 943,512.30
  5. Step 5: Solve for x
    x = 943,512.30/1,219.27
  6. Step 6: Final answer
    x = 773.84

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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.