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Finding the Fourth Proportional to 794.50, 1,096.41 and 445.20

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Solution

The fourth proportional to 794.50, 1,096.41 and 445.20 is: 614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.50 : 1,096.41 = 445.20 : x
  2. Step 2: Convert to fraction form
    794.50/1,096.41 = 445.20/x
  3. Step 3: Cross multiply
    794.50x = 1,096.41 × 445.20
  4. Step 4: Simplify right side
    794.50x = 488,121.73
  5. Step 5: Solve for x
    x = 488,121.73/794.50
  6. Step 6: Final answer
    x = 614.38

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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.