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Finding the Fourth Proportional to 1,026.82, 1,540.26 and 257.32

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Solution

The fourth proportional to 1,026.82, 1,540.26 and 257.32 is: 385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.82 : 1,540.26 = 257.32 : x
  2. Step 2: Convert to fraction form
    1,026.82/1,540.26 = 257.32/x
  3. Step 3: Cross multiply
    1,026.82x = 1,540.26 × 257.32
  4. Step 4: Simplify right side
    1,026.82x = 396,339.70
  5. Step 5: Solve for x
    x = 396,339.70/1,026.82
  6. Step 6: Final answer
    x = 385.99

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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.