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Finding the Fourth Proportional to 676.44, 1,012.74 and 447.96

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Solution

The fourth proportional to 676.44, 1,012.74 and 447.96 is: 670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.44 : 1,012.74 = 447.96 : x
  2. Step 2: Convert to fraction form
    676.44/1,012.74 = 447.96/x
  3. Step 3: Cross multiply
    676.44x = 1,012.74 × 447.96
  4. Step 4: Simplify right side
    676.44x = 453,667.01
  5. Step 5: Solve for x
    x = 453,667.01/676.44
  6. Step 6: Final answer
    x = 670.67

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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.