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Finding the Fourth Proportional to 1,027.39, 1,540.92 and 377.97

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Solution

The fourth proportional to 1,027.39, 1,540.92 and 377.97 is: 566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.39 : 1,540.92 = 377.97 : x
  2. Step 2: Convert to fraction form
    1,027.39/1,540.92 = 377.97/x
  3. Step 3: Cross multiply
    1,027.39x = 1,540.92 × 377.97
  4. Step 4: Simplify right side
    1,027.39x = 582,421.53
  5. Step 5: Solve for x
    x = 582,421.53/1,027.39
  6. Step 6: Final answer
    x = 566.89

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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.