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Finding the Fourth Proportional to 1,229.45, 1,696.82 and 809.73

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Solution

The fourth proportional to 1,229.45, 1,696.82 and 809.73 is: 1,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.45 : 1,696.82 = 809.73 : x
  2. Step 2: Convert to fraction form
    1,229.45/1,696.82 = 809.73/x
  3. Step 3: Cross multiply
    1,229.45x = 1,696.82 × 809.73
  4. Step 4: Simplify right side
    1,229.45x = 1,373,962.01
  5. Step 5: Solve for x
    x = 1,373,962.01/1,229.45
  6. Step 6: Final answer
    x = 1,117.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.