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Finding the Fourth Proportional to 1,072.82, 1,608.91 and 414.65

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Solution

The fourth proportional to 1,072.82, 1,608.91 and 414.65 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.82 : 1,608.91 = 414.65 : x
  2. Step 2: Convert to fraction form
    1,072.82/1,608.91 = 414.65/x
  3. Step 3: Cross multiply
    1,072.82x = 1,608.91 × 414.65
  4. Step 4: Simplify right side
    1,072.82x = 667,137.52
  5. Step 5: Solve for x
    x = 667,137.52/1,072.82
  6. Step 6: Final answer
    x = 621.85

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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.