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Finding the Fourth Proportional to 689.77, 1,033.98 and 227.23

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Solution

The fourth proportional to 689.77, 1,033.98 and 227.23 is: 340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 1,033.98 = 227.23 : x
  2. Step 2: Convert to fraction form
    689.77/1,033.98 = 227.23/x
  3. Step 3: Cross multiply
    689.77x = 1,033.98 × 227.23
  4. Step 4: Simplify right side
    689.77x = 234,951.28
  5. Step 5: Solve for x
    x = 234,951.28/689.77
  6. Step 6: Final answer
    x = 340.62

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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.