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Finding the Fourth Proportional to 682.44, 1,024.27 and 439.24

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Solution

The fourth proportional to 682.44, 1,024.27 and 439.24 is: 659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.44 : 1,024.27 = 439.24 : x
  2. Step 2: Convert to fraction form
    682.44/1,024.27 = 439.24/x
  3. Step 3: Cross multiply
    682.44x = 1,024.27 × 439.24
  4. Step 4: Simplify right side
    682.44x = 449,900.35
  5. Step 5: Solve for x
    x = 449,900.35/682.44
  6. Step 6: Final answer
    x = 659.25

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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.