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Finding the Fourth Proportional to 801.66, 1,105.82 and 506.42

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Solution

The fourth proportional to 801.66, 1,105.82 and 506.42 is: 698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.66 : 1,105.82 = 506.42 : x
  2. Step 2: Convert to fraction form
    801.66/1,105.82 = 506.42/x
  3. Step 3: Cross multiply
    801.66x = 1,105.82 × 506.42
  4. Step 4: Simplify right side
    801.66x = 560,007.35
  5. Step 5: Solve for x
    x = 560,007.35/801.66
  6. Step 6: Final answer
    x = 698.56

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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.