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Finding the Fourth Proportional to 1,244.64, 1,866.97 and 422.92

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Solution

The fourth proportional to 1,244.64, 1,866.97 and 422.92 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.64 : 1,866.97 = 422.92 : x
  2. Step 2: Convert to fraction form
    1,244.64/1,866.97 = 422.92/x
  3. Step 3: Cross multiply
    1,244.64x = 1,866.97 × 422.92
  4. Step 4: Simplify right side
    1,244.64x = 789,578.95
  5. Step 5: Solve for x
    x = 789,578.95/1,244.64
  6. Step 6: Final answer
    x = 634.38

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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.