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Finding the Fourth Proportional to 1,027.05, 1,540.56 and 257.55

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Solution

The fourth proportional to 1,027.05, 1,540.56 and 257.55 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.05 : 1,540.56 = 257.55 : x
  2. Step 2: Convert to fraction form
    1,027.05/1,540.56 = 257.55/x
  3. Step 3: Cross multiply
    1,027.05x = 1,540.56 × 257.55
  4. Step 4: Simplify right side
    1,027.05x = 396,771.23
  5. Step 5: Solve for x
    x = 396,771.23/1,027.05
  6. Step 6: Final answer
    x = 386.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.