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Finding the Fourth Proportional to 1,027.09, 1,540.02 and 411.09

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Solution

The fourth proportional to 1,027.09, 1,540.02 and 411.09 is: 616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.09 : 1,540.02 = 411.09 : x
  2. Step 2: Convert to fraction form
    1,027.09/1,540.02 = 411.09/x
  3. Step 3: Cross multiply
    1,027.09x = 1,540.02 × 411.09
  4. Step 4: Simplify right side
    1,027.09x = 633,082.59
  5. Step 5: Solve for x
    x = 633,082.59/1,027.09
  6. Step 6: Final answer
    x = 616.38

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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.