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Finding the Fourth Proportional to 686.45, 1,028.94 and 321.47

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Solution

The fourth proportional to 686.45, 1,028.94 and 321.47 is: 481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.45 : 1,028.94 = 321.47 : x
  2. Step 2: Convert to fraction form
    686.45/1,028.94 = 321.47/x
  3. Step 3: Cross multiply
    686.45x = 1,028.94 × 321.47
  4. Step 4: Simplify right side
    686.45x = 330,768.20
  5. Step 5: Solve for x
    x = 330,768.20/686.45
  6. Step 6: Final answer
    x = 481.86

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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.