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Finding the Fourth Proportional to 682.45, 1,023.41 and 271.49

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Solution

The fourth proportional to 682.45, 1,023.41 and 271.49 is: 407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.45 : 1,023.41 = 271.49 : x
  2. Step 2: Convert to fraction form
    682.45/1,023.41 = 271.49/x
  3. Step 3: Cross multiply
    682.45x = 1,023.41 × 271.49
  4. Step 4: Simplify right side
    682.45x = 277,841.14
  5. Step 5: Solve for x
    x = 277,841.14/682.45
  6. Step 6: Final answer
    x = 407.12

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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.