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Finding the Fourth Proportional to 1,238.49, 1,858.12 and 416.80

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Solution

The fourth proportional to 1,238.49, 1,858.12 and 416.80 is: 625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.49 : 1,858.12 = 416.80 : x
  2. Step 2: Convert to fraction form
    1,238.49/1,858.12 = 416.80/x
  3. Step 3: Cross multiply
    1,238.49x = 1,858.12 × 416.80
  4. Step 4: Simplify right side
    1,238.49x = 774,461.64
  5. Step 5: Solve for x
    x = 774,461.64/1,238.49
  6. Step 6: Final answer
    x = 625.33

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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.