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Finding the Fourth Proportional to 1,229.86, 1,846.87 and 821.62

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Solution

The fourth proportional to 1,229.86, 1,846.87 and 821.62 is: 1,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.86 : 1,846.87 = 821.62 : x
  2. Step 2: Convert to fraction form
    1,229.86/1,846.87 = 821.62/x
  3. Step 3: Cross multiply
    1,229.86x = 1,846.87 × 821.62
  4. Step 4: Simplify right side
    1,229.86x = 1,517,418.15
  5. Step 5: Solve for x
    x = 1,517,418.15/1,229.86
  6. Step 6: Final answer
    x = 1,233.82

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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.