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Finding the Fourth Proportional to 1,072.80, 1,609.44 and 423.84

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Solution

The fourth proportional to 1,072.80, 1,609.44 and 423.84 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.80 : 1,609.44 = 423.84 : x
  2. Step 2: Convert to fraction form
    1,072.80/1,609.44 = 423.84/x
  3. Step 3: Cross multiply
    1,072.80x = 1,609.44 × 423.84
  4. Step 4: Simplify right side
    1,072.80x = 682,145.05
  5. Step 5: Solve for x
    x = 682,145.05/1,072.80
  6. Step 6: Final answer
    x = 635.85

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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.