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Finding the Fourth Proportional to 1,026.72, 1,540.08 and 257.22

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Solution

The fourth proportional to 1,026.72, 1,540.08 and 257.22 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.72 : 1,540.08 = 257.22 : x
  2. Step 2: Convert to fraction form
    1,026.72/1,540.08 = 257.22/x
  3. Step 3: Cross multiply
    1,026.72x = 1,540.08 × 257.22
  4. Step 4: Simplify right side
    1,026.72x = 396,139.38
  5. Step 5: Solve for x
    x = 396,139.38/1,026.72
  6. Step 6: Final answer
    x = 385.83

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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.