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Finding the Fourth Proportional to 682.22, 1,024.45 and 409.66

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Solution

The fourth proportional to 682.22, 1,024.45 and 409.66 is: 615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.22 : 1,024.45 = 409.66 : x
  2. Step 2: Convert to fraction form
    682.22/1,024.45 = 409.66/x
  3. Step 3: Cross multiply
    682.22x = 1,024.45 × 409.66
  4. Step 4: Simplify right side
    682.22x = 419,672.60
  5. Step 5: Solve for x
    x = 419,672.60/682.22
  6. Step 6: Final answer
    x = 615.16

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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.