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Finding the Fourth Proportional to 682.54, 1,023.87 and 271.58

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Solution

The fourth proportional to 682.54, 1,023.87 and 271.58 is: 407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.54 : 1,023.87 = 271.58 : x
  2. Step 2: Convert to fraction form
    682.54/1,023.87 = 271.58/x
  3. Step 3: Cross multiply
    682.54x = 1,023.87 × 271.58
  4. Step 4: Simplify right side
    682.54x = 278,058.77
  5. Step 5: Solve for x
    x = 278,058.77/682.54
  6. Step 6: Final answer
    x = 407.39

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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.