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Finding the Fourth Proportional to 1,027.17, 1,540.41 and 410.68

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Solution

The fourth proportional to 1,027.17, 1,540.41 and 410.68 is: 615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.17 : 1,540.41 = 410.68 : x
  2. Step 2: Convert to fraction form
    1,027.17/1,540.41 = 410.68/x
  3. Step 3: Cross multiply
    1,027.17x = 1,540.41 × 410.68
  4. Step 4: Simplify right side
    1,027.17x = 632,615.58
  5. Step 5: Solve for x
    x = 632,615.58/1,027.17
  6. Step 6: Final answer
    x = 615.88

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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.