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Finding the Fourth Proportional to 682.60, 1,024.26 and 409.24

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Solution

The fourth proportional to 682.60, 1,024.26 and 409.24 is: 614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.60 : 1,024.26 = 409.24 : x
  2. Step 2: Convert to fraction form
    682.60/1,024.26 = 409.24/x
  3. Step 3: Cross multiply
    682.60x = 1,024.26 × 409.24
  4. Step 4: Simplify right side
    682.60x = 419,168.16
  5. Step 5: Solve for x
    x = 419,168.16/682.60
  6. Step 6: Final answer
    x = 614.08

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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.