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Finding the Fourth Proportional to 682.83, 1,024.05 and 266.27

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Solution

The fourth proportional to 682.83, 1,024.05 and 266.27 is: 399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 1,024.05 = 266.27 : x
  2. Step 2: Convert to fraction form
    682.83/1,024.05 = 266.27/x
  3. Step 3: Cross multiply
    682.83x = 1,024.05 × 266.27
  4. Step 4: Simplify right side
    682.83x = 272,673.79
  5. Step 5: Solve for x
    x = 272,673.79/682.83
  6. Step 6: Final answer
    x = 399.33

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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.