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Finding the Fourth Proportional to 828.09, 1,234.20 and 793.47

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Solution

The fourth proportional to 828.09, 1,234.20 and 793.47 is: 1,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.09 : 1,234.20 = 793.47 : x
  2. Step 2: Convert to fraction form
    828.09/1,234.20 = 793.47/x
  3. Step 3: Cross multiply
    828.09x = 1,234.20 × 793.47
  4. Step 4: Simplify right side
    828.09x = 979,300.67
  5. Step 5: Solve for x
    x = 979,300.67/828.09
  6. Step 6: Final answer
    x = 1,182.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.