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Finding the Fourth Proportional to 682.94, 1,023.73 and 271.82

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Solution

The fourth proportional to 682.94, 1,023.73 and 271.82 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.94 : 1,023.73 = 271.82 : x
  2. Step 2: Convert to fraction form
    682.94/1,023.73 = 271.82/x
  3. Step 3: Cross multiply
    682.94x = 1,023.73 × 271.82
  4. Step 4: Simplify right side
    682.94x = 278,264.49
  5. Step 5: Solve for x
    x = 278,264.49/682.94
  6. Step 6: Final answer
    x = 407.45

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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.