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Finding the Fourth Proportional to 682.07, 1,023.33 and 271.10

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Solution

The fourth proportional to 682.07, 1,023.33 and 271.10 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.07 : 1,023.33 = 271.10 : x
  2. Step 2: Convert to fraction form
    682.07/1,023.33 = 271.10/x
  3. Step 3: Cross multiply
    682.07x = 1,023.33 × 271.10
  4. Step 4: Simplify right side
    682.07x = 277,422.58
  5. Step 5: Solve for x
    x = 277,422.58/682.07
  6. Step 6: Final answer
    x = 406.74

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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.