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Finding the Fourth Proportional to 1,027.42, 1,540.18 and 410.74

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Solution

The fourth proportional to 1,027.42, 1,540.18 and 410.74 is: 615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.42 : 1,540.18 = 410.74 : x
  2. Step 2: Convert to fraction form
    1,027.42/1,540.18 = 410.74/x
  3. Step 3: Cross multiply
    1,027.42x = 1,540.18 × 410.74
  4. Step 4: Simplify right side
    1,027.42x = 632,610.20
  5. Step 5: Solve for x
    x = 632,610.20/1,027.42
  6. Step 6: Final answer
    x = 615.73

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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.