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Finding the Fourth Proportional to 1,605.51, 2,408.13 and 451.26

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Solution

The fourth proportional to 1,605.51, 2,408.13 and 451.26 is: 676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.51 : 2,408.13 = 451.26 : x
  2. Step 2: Convert to fraction form
    1,605.51/2,408.13 = 451.26/x
  3. Step 3: Cross multiply
    1,605.51x = 2,408.13 × 451.26
  4. Step 4: Simplify right side
    1,605.51x = 1,086,692.74
  5. Step 5: Solve for x
    x = 1,086,692.74/1,605.51
  6. Step 6: Final answer
    x = 676.85

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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.