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Finding the Fourth Proportional to 882.44, 1,322.22 and 449

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Solution

The fourth proportional to 882.44, 1,322.22 and 449 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.44 : 1,322.22 = 449 : x
  2. Step 2: Convert to fraction form
    882.44/1,322.22 = 449/x
  3. Step 3: Cross multiply
    882.44x = 1,322.22 × 449
  4. Step 4: Simplify right side
    882.44x = 593,676.78
  5. Step 5: Solve for x
    x = 593,676.78/882.44
  6. Step 6: Final answer
    x = 672.77

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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.