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Finding the Fourth Proportional to 1,027.09, 1,540.64 and 257.59

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Solution

The fourth proportional to 1,027.09, 1,540.64 and 257.59 is: 386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.09 : 1,540.64 = 257.59 : x
  2. Step 2: Convert to fraction form
    1,027.09/1,540.64 = 257.59/x
  3. Step 3: Cross multiply
    1,027.09x = 1,540.64 × 257.59
  4. Step 4: Simplify right side
    1,027.09x = 396,853.46
  5. Step 5: Solve for x
    x = 396,853.46/1,027.09
  6. Step 6: Final answer
    x = 386.39

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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.