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Finding the Fourth Proportional to 1,072.97, 1,609.62 and 415.14

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Solution

The fourth proportional to 1,072.97, 1,609.62 and 415.14 is: 622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.97 : 1,609.62 = 415.14 : x
  2. Step 2: Convert to fraction form
    1,072.97/1,609.62 = 415.14/x
  3. Step 3: Cross multiply
    1,072.97x = 1,609.62 × 415.14
  4. Step 4: Simplify right side
    1,072.97x = 668,217.65
  5. Step 5: Solve for x
    x = 668,217.65/1,072.97
  6. Step 6: Final answer
    x = 622.78

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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.