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Finding the Fourth Proportional to 676.45, 1,012.14 and 481.90

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Solution

The fourth proportional to 676.45, 1,012.14 and 481.90 is: 721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.45 : 1,012.14 = 481.90 : x
  2. Step 2: Convert to fraction form
    676.45/1,012.14 = 481.90/x
  3. Step 3: Cross multiply
    676.45x = 1,012.14 × 481.90
  4. Step 4: Simplify right side
    676.45x = 487,745.21
  5. Step 5: Solve for x
    x = 487,745.21/676.45
  6. Step 6: Final answer
    x = 721.04

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Why These Related Problems?

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