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Finding the Fourth Proportional to 801, 1,105.16 and 506.60

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Solution

The fourth proportional to 801, 1,105.16 and 506.60 is: 698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    801 : 1,105.16 = 506.60 : x
  2. Step 2: Convert to fraction form
    801/1,105.16 = 506.60/x
  3. Step 3: Cross multiply
    801x = 1,105.16 × 506.60
  4. Step 4: Simplify right side
    801x = 559,874.06
  5. Step 5: Solve for x
    x = 559,874.06/801
  6. Step 6: Final answer
    x = 698.97

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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.