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Finding the Fourth Proportional to 1,027.14, 1,540.32 and 411.12

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Solution

The fourth proportional to 1,027.14, 1,540.32 and 411.12 is: 616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.14 : 1,540.32 = 411.12 : x
  2. Step 2: Convert to fraction form
    1,027.14/1,540.32 = 411.12/x
  3. Step 3: Cross multiply
    1,027.14x = 1,540.32 × 411.12
  4. Step 4: Simplify right side
    1,027.14x = 633,256.36
  5. Step 5: Solve for x
    x = 633,256.36/1,027.14
  6. Step 6: Final answer
    x = 616.52

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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.