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Finding the Fourth Proportional to 1,238.42, 1,857.78 and 416.91

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Solution

The fourth proportional to 1,238.42, 1,857.78 and 416.91 is: 625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.42 : 1,857.78 = 416.91 : x
  2. Step 2: Convert to fraction form
    1,238.42/1,857.78 = 416.91/x
  3. Step 3: Cross multiply
    1,238.42x = 1,857.78 × 416.91
  4. Step 4: Simplify right side
    1,238.42x = 774,527.06
  5. Step 5: Solve for x
    x = 774,527.06/1,238.42
  6. Step 6: Final answer
    x = 625.42

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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.