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Finding the Fourth Proportional to 682.61, 1,023.69 and 271.62

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Solution

The fourth proportional to 682.61, 1,023.69 and 271.62 is: 407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.61 : 1,023.69 = 271.62 : x
  2. Step 2: Convert to fraction form
    682.61/1,023.69 = 271.62/x
  3. Step 3: Cross multiply
    682.61x = 1,023.69 × 271.62
  4. Step 4: Simplify right side
    682.61x = 278,054.68
  5. Step 5: Solve for x
    x = 278,054.68/682.61
  6. Step 6: Final answer
    x = 407.34

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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.