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Finding the Fourth Proportional to 806.94, 1,210.43 and 229.82

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Solution

The fourth proportional to 806.94, 1,210.43 and 229.82 is: 344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.94 : 1,210.43 = 229.82 : x
  2. Step 2: Convert to fraction form
    806.94/1,210.43 = 229.82/x
  3. Step 3: Cross multiply
    806.94x = 1,210.43 × 229.82
  4. Step 4: Simplify right side
    806.94x = 278,181.02
  5. Step 5: Solve for x
    x = 278,181.02/806.94
  6. Step 6: Final answer
    x = 344.74

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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.