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Finding the Fourth Proportional to 805.09, 1,207.82 and 257.23

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Solution

The fourth proportional to 805.09, 1,207.82 and 257.23 is: 385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.09 : 1,207.82 = 257.23 : x
  2. Step 2: Convert to fraction form
    805.09/1,207.82 = 257.23/x
  3. Step 3: Cross multiply
    805.09x = 1,207.82 × 257.23
  4. Step 4: Simplify right side
    805.09x = 310,687.54
  5. Step 5: Solve for x
    x = 310,687.54/805.09
  6. Step 6: Final answer
    x = 385.90

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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.