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Finding the Fourth Proportional to 682.04, 1,022.45 and 408.66

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Solution

The fourth proportional to 682.04, 1,022.45 and 408.66 is: 612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.04 : 1,022.45 = 408.66 : x
  2. Step 2: Convert to fraction form
    682.04/1,022.45 = 408.66/x
  3. Step 3: Cross multiply
    682.04x = 1,022.45 × 408.66
  4. Step 4: Simplify right side
    682.04x = 417,832.37
  5. Step 5: Solve for x
    x = 417,832.37/682.04
  6. Step 6: Final answer
    x = 612.63

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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.