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Finding the Fourth Proportional to 1,238.26, 1,857.39 and 416.54

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Solution

The fourth proportional to 1,238.26, 1,857.39 and 416.54 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.26 : 1,857.39 = 416.54 : x
  2. Step 2: Convert to fraction form
    1,238.26/1,857.39 = 416.54/x
  3. Step 3: Cross multiply
    1,238.26x = 1,857.39 × 416.54
  4. Step 4: Simplify right side
    1,238.26x = 773,665.86
  5. Step 5: Solve for x
    x = 773,665.86/1,238.26
  6. Step 6: Final answer
    x = 624.80

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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.