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Finding the Fourth Proportional to 1,229.66, 1,698.30 and 836

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Solution

The fourth proportional to 1,229.66, 1,698.30 and 836 is: 1,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.66 : 1,698.30 = 836 : x
  2. Step 2: Convert to fraction form
    1,229.66/1,698.30 = 836/x
  3. Step 3: Cross multiply
    1,229.66x = 1,698.30 × 836
  4. Step 4: Simplify right side
    1,229.66x = 1,419,778.80
  5. Step 5: Solve for x
    x = 1,419,778.80/1,229.66
  6. Step 6: Final answer
    x = 1,154.61

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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.