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Finding the Fourth Proportional to 682.36, 1,023.68 and 408.12

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Solution

The fourth proportional to 682.36, 1,023.68 and 408.12 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.36 : 1,023.68 = 408.12 : x
  2. Step 2: Convert to fraction form
    682.36/1,023.68 = 408.12/x
  3. Step 3: Cross multiply
    682.36x = 1,023.68 × 408.12
  4. Step 4: Simplify right side
    682.36x = 417,784.28
  5. Step 5: Solve for x
    x = 417,784.28/682.36
  6. Step 6: Final answer
    x = 612.26

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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.