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Finding the Fourth Proportional to 828.86, 1,243.27 and 699.69

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Solution

The fourth proportional to 828.86, 1,243.27 and 699.69 is: 1,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.86 : 1,243.27 = 699.69 : x
  2. Step 2: Convert to fraction form
    828.86/1,243.27 = 699.69/x
  3. Step 3: Cross multiply
    828.86x = 1,243.27 × 699.69
  4. Step 4: Simplify right side
    828.86x = 869,903.59
  5. Step 5: Solve for x
    x = 869,903.59/828.86
  6. Step 6: Final answer
    x = 1,049.52

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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.