Home / 1,285.38-1,928.07-516.42

Finding the Fourth Proportional to 1,285.38, 1,928.07 and 516.42

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Solution

The fourth proportional to 1,285.38, 1,928.07 and 516.42 is: 774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.38 : 1,928.07 = 516.42 : x
  2. Step 2: Convert to fraction form
    1,285.38/1,928.07 = 516.42/x
  3. Step 3: Cross multiply
    1,285.38x = 1,928.07 × 516.42
  4. Step 4: Simplify right side
    1,285.38x = 995,693.91
  5. Step 5: Solve for x
    x = 995,693.91/1,285.38
  6. Step 6: Final answer
    x = 774.63

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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.