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Finding the Fourth Proportional to 1,238.38, 1,857.78 and 416.73

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Solution

The fourth proportional to 1,238.38, 1,857.78 and 416.73 is: 625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.38 : 1,857.78 = 416.73 : x
  2. Step 2: Convert to fraction form
    1,238.38/1,857.78 = 416.73/x
  3. Step 3: Cross multiply
    1,238.38x = 1,857.78 × 416.73
  4. Step 4: Simplify right side
    1,238.38x = 774,192.66
  5. Step 5: Solve for x
    x = 774,192.66/1,238.38
  6. Step 6: Final answer
    x = 625.17

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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.