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Finding the Fourth Proportional to 1,605.29, 2,408.33 and 451.04

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Solution

The fourth proportional to 1,605.29, 2,408.33 and 451.04 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.29 : 2,408.33 = 451.04 : x
  2. Step 2: Convert to fraction form
    1,605.29/2,408.33 = 451.04/x
  3. Step 3: Cross multiply
    1,605.29x = 2,408.33 × 451.04
  4. Step 4: Simplify right side
    1,605.29x = 1,086,260.31
  5. Step 5: Solve for x
    x = 1,086,260.31/1,605.29
  6. Step 6: Final answer
    x = 676.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.