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Finding the Fourth Proportional to 1,244.40, 1,865.31 and 422.39

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Solution

The fourth proportional to 1,244.40, 1,865.31 and 422.39 is: 633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.40 : 1,865.31 = 422.39 : x
  2. Step 2: Convert to fraction form
    1,244.40/1,865.31 = 422.39/x
  3. Step 3: Cross multiply
    1,244.40x = 1,865.31 × 422.39
  4. Step 4: Simplify right side
    1,244.40x = 787,891.37
  5. Step 5: Solve for x
    x = 787,891.37/1,244.40
  6. Step 6: Final answer
    x = 633.15

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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.