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Finding the Fourth Proportional to 1,606, 2,408.97 and 511.27

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Solution

The fourth proportional to 1,606, 2,408.97 and 511.27 is: 766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606 : 2,408.97 = 511.27 : x
  2. Step 2: Convert to fraction form
    1,606/2,408.97 = 511.27/x
  3. Step 3: Cross multiply
    1,606x = 2,408.97 × 511.27
  4. Step 4: Simplify right side
    1,606x = 1,231,634.09
  5. Step 5: Solve for x
    x = 1,231,634.09/1,606
  6. Step 6: Final answer
    x = 766.90

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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.