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Finding the Fourth Proportional to 806.86, 1,210.50 and 229.78

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Solution

The fourth proportional to 806.86, 1,210.50 and 229.78 is: 344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.86 : 1,210.50 = 229.78 : x
  2. Step 2: Convert to fraction form
    806.86/1,210.50 = 229.78/x
  3. Step 3: Cross multiply
    806.86x = 1,210.50 × 229.78
  4. Step 4: Simplify right side
    806.86x = 278,148.69
  5. Step 5: Solve for x
    x = 278,148.69/806.86
  6. Step 6: Final answer
    x = 344.73

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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.