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Finding the Fourth Proportional to 806.84, 1,209.46 and 344.80

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Solution

The fourth proportional to 806.84, 1,209.46 and 344.80 is: 516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.84 : 1,209.46 = 344.80 : x
  2. Step 2: Convert to fraction form
    806.84/1,209.46 = 344.80/x
  3. Step 3: Cross multiply
    806.84x = 1,209.46 × 344.80
  4. Step 4: Simplify right side
    806.84x = 417,021.81
  5. Step 5: Solve for x
    x = 417,021.81/806.84
  6. Step 6: Final answer
    x = 516.86

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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.