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Finding the Fourth Proportional to 1,605.82, 2,408.81 and 451.66

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Solution

The fourth proportional to 1,605.82, 2,408.81 and 451.66 is: 677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.82 : 2,408.81 = 451.66 : x
  2. Step 2: Convert to fraction form
    1,605.82/2,408.81 = 451.66/x
  3. Step 3: Cross multiply
    1,605.82x = 2,408.81 × 451.66
  4. Step 4: Simplify right side
    1,605.82x = 1,087,964.25
  5. Step 5: Solve for x
    x = 1,087,964.25/1,605.82
  6. Step 6: Final answer
    x = 677.51

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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.