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Finding the Fourth Proportional to 682.08, 1,023.24 and 408.18

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Solution

The fourth proportional to 682.08, 1,023.24 and 408.18 is: 612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.08 : 1,023.24 = 408.18 : x
  2. Step 2: Convert to fraction form
    682.08/1,023.24 = 408.18/x
  3. Step 3: Cross multiply
    682.08x = 1,023.24 × 408.18
  4. Step 4: Simplify right side
    682.08x = 417,666.10
  5. Step 5: Solve for x
    x = 417,666.10/682.08
  6. Step 6: Final answer
    x = 612.34

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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.