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Finding the Fourth Proportional to 676.92, 1,014.34 and 445.40

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Solution

The fourth proportional to 676.92, 1,014.34 and 445.40 is: 667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.92 : 1,014.34 = 445.40 : x
  2. Step 2: Convert to fraction form
    676.92/1,014.34 = 445.40/x
  3. Step 3: Cross multiply
    676.92x = 1,014.34 × 445.40
  4. Step 4: Simplify right side
    676.92x = 451,787.04
  5. Step 5: Solve for x
    x = 451,787.04/676.92
  6. Step 6: Final answer
    x = 667.42

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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.