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Finding the Fourth Proportional to 682.36, 1,024.21 and 459.96

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Solution

The fourth proportional to 682.36, 1,024.21 and 459.96 is: 690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.36 : 1,024.21 = 459.96 : x
  2. Step 2: Convert to fraction form
    682.36/1,024.21 = 459.96/x
  3. Step 3: Cross multiply
    682.36x = 1,024.21 × 459.96
  4. Step 4: Simplify right side
    682.36x = 471,096.94
  5. Step 5: Solve for x
    x = 471,096.94/682.36
  6. Step 6: Final answer
    x = 690.40

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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.