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Finding the Fourth Proportional to 806.92, 1,210.43 and 229.75

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Solution

The fourth proportional to 806.92, 1,210.43 and 229.75 is: 344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.92 : 1,210.43 = 229.75 : x
  2. Step 2: Convert to fraction form
    806.92/1,210.43 = 229.75/x
  3. Step 3: Cross multiply
    806.92x = 1,210.43 × 229.75
  4. Step 4: Simplify right side
    806.92x = 278,095.14
  5. Step 5: Solve for x
    x = 278,095.14/806.92
  6. Step 6: Final answer
    x = 344.64

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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.