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Finding the Fourth Proportional to 828.98, 1,144.62 and 679.38

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Solution

The fourth proportional to 828.98, 1,144.62 and 679.38 is: 938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.98 : 1,144.62 = 679.38 : x
  2. Step 2: Convert to fraction form
    828.98/1,144.62 = 679.38/x
  3. Step 3: Cross multiply
    828.98x = 1,144.62 × 679.38
  4. Step 4: Simplify right side
    828.98x = 777,628.54
  5. Step 5: Solve for x
    x = 777,628.54/828.98
  6. Step 6: Final answer
    x = 938.05

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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.