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Finding the Fourth Proportional to 682.16, 1,023.04 and 271.28

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Solution

The fourth proportional to 682.16, 1,023.04 and 271.28 is: 406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 1,023.04 = 271.28 : x
  2. Step 2: Convert to fraction form
    682.16/1,023.04 = 271.28/x
  3. Step 3: Cross multiply
    682.16x = 1,023.04 × 271.28
  4. Step 4: Simplify right side
    682.16x = 277,530.29
  5. Step 5: Solve for x
    x = 277,530.29/682.16
  6. Step 6: Final answer
    x = 406.84

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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.