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Finding the Fourth Proportional to 682.14, 1,023.30 and 408.18

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Solution

The fourth proportional to 682.14, 1,023.30 and 408.18 is: 612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.14 : 1,023.30 = 408.18 : x
  2. Step 2: Convert to fraction form
    682.14/1,023.30 = 408.18/x
  3. Step 3: Cross multiply
    682.14x = 1,023.30 × 408.18
  4. Step 4: Simplify right side
    682.14x = 417,690.59
  5. Step 5: Solve for x
    x = 417,690.59/682.14
  6. Step 6: Final answer
    x = 612.32

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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.