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Finding the Fourth Proportional to 1,244.58, 1,865.89 and 422.43

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Solution

The fourth proportional to 1,244.58, 1,865.89 and 422.43 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.58 : 1,865.89 = 422.43 : x
  2. Step 2: Convert to fraction form
    1,244.58/1,865.89 = 422.43/x
  3. Step 3: Cross multiply
    1,244.58x = 1,865.89 × 422.43
  4. Step 4: Simplify right side
    1,244.58x = 788,209.56
  5. Step 5: Solve for x
    x = 788,209.56/1,244.58
  6. Step 6: Final answer
    x = 633.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.