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Finding the Fourth Proportional to 682.42, 1,023.69 and 271.46

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Solution

The fourth proportional to 682.42, 1,023.69 and 271.46 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 1,023.69 = 271.46 : x
  2. Step 2: Convert to fraction form
    682.42/1,023.69 = 271.46/x
  3. Step 3: Cross multiply
    682.42x = 1,023.69 × 271.46
  4. Step 4: Simplify right side
    682.42x = 277,890.89
  5. Step 5: Solve for x
    x = 277,890.89/682.42
  6. Step 6: Final answer
    x = 407.21

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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.