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Finding the Fourth Proportional to 682.65, 1,024.07 and 408.51

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Solution

The fourth proportional to 682.65, 1,024.07 and 408.51 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.65 : 1,024.07 = 408.51 : x
  2. Step 2: Convert to fraction form
    682.65/1,024.07 = 408.51/x
  3. Step 3: Cross multiply
    682.65x = 1,024.07 × 408.51
  4. Step 4: Simplify right side
    682.65x = 418,340.79
  5. Step 5: Solve for x
    x = 418,340.79/682.65
  6. Step 6: Final answer
    x = 612.82

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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.