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Finding the Fourth Proportional to 1,249.44, 1,873.68 and 427.44

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Solution

The fourth proportional to 1,249.44, 1,873.68 and 427.44 is: 641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.44 : 1,873.68 = 427.44 : x
  2. Step 2: Convert to fraction form
    1,249.44/1,873.68 = 427.44/x
  3. Step 3: Cross multiply
    1,249.44x = 1,873.68 × 427.44
  4. Step 4: Simplify right side
    1,249.44x = 800,885.78
  5. Step 5: Solve for x
    x = 800,885.78/1,249.44
  6. Step 6: Final answer
    x = 641.00

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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.