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Finding the Fourth Proportional to 1,026.81, 1,540.22 and 257.31

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Solution

The fourth proportional to 1,026.81, 1,540.22 and 257.31 is: 385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.81 : 1,540.22 = 257.31 : x
  2. Step 2: Convert to fraction form
    1,026.81/1,540.22 = 257.31/x
  3. Step 3: Cross multiply
    1,026.81x = 1,540.22 × 257.31
  4. Step 4: Simplify right side
    1,026.81x = 396,314.01
  5. Step 5: Solve for x
    x = 396,314.01/1,026.81
  6. Step 6: Final answer
    x = 385.97

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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.