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Finding the Fourth Proportional to 806.86, 1,209.42 and 344.56

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Solution

The fourth proportional to 806.86, 1,209.42 and 344.56 is: 516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.86 : 1,209.42 = 344.56 : x
  2. Step 2: Convert to fraction form
    806.86/1,209.42 = 344.56/x
  3. Step 3: Cross multiply
    806.86x = 1,209.42 × 344.56
  4. Step 4: Simplify right side
    806.86x = 416,717.76
  5. Step 5: Solve for x
    x = 416,717.76/806.86
  6. Step 6: Final answer
    x = 516.47

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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.