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Finding the Fourth Proportional to 682.86, 1,024.06 and 271.87

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Solution

The fourth proportional to 682.86, 1,024.06 and 271.87 is: 407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.86 : 1,024.06 = 271.87 : x
  2. Step 2: Convert to fraction form
    682.86/1,024.06 = 271.87/x
  3. Step 3: Cross multiply
    682.86x = 1,024.06 × 271.87
  4. Step 4: Simplify right side
    682.86x = 278,411.19
  5. Step 5: Solve for x
    x = 278,411.19/682.86
  6. Step 6: Final answer
    x = 407.71

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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.