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Finding the Fourth Proportional to 1,026.93, 1,540.41 and 257.43

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Solution

The fourth proportional to 1,026.93, 1,540.41 and 257.43 is: 386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.93 : 1,540.41 = 257.43 : x
  2. Step 2: Convert to fraction form
    1,026.93/1,540.41 = 257.43/x
  3. Step 3: Cross multiply
    1,026.93x = 1,540.41 × 257.43
  4. Step 4: Simplify right side
    1,026.93x = 396,547.75
  5. Step 5: Solve for x
    x = 396,547.75/1,026.93
  6. Step 6: Final answer
    x = 386.15

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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.