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Finding the Fourth Proportional to 1,072.89, 1,609.34 and 423.81

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Solution

The fourth proportional to 1,072.89, 1,609.34 and 423.81 is: 635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.89 : 1,609.34 = 423.81 : x
  2. Step 2: Convert to fraction form
    1,072.89/1,609.34 = 423.81/x
  3. Step 3: Cross multiply
    1,072.89x = 1,609.34 × 423.81
  4. Step 4: Simplify right side
    1,072.89x = 682,052.27
  5. Step 5: Solve for x
    x = 682,052.27/1,072.89
  6. Step 6: Final answer
    x = 635.72

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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.