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Finding the Fourth Proportional to 801.27, 1,105.31 and 506.03

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Solution

The fourth proportional to 801.27, 1,105.31 and 506.03 is: 698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.27 : 1,105.31 = 506.03 : x
  2. Step 2: Convert to fraction form
    801.27/1,105.31 = 506.03/x
  3. Step 3: Cross multiply
    801.27x = 1,105.31 × 506.03
  4. Step 4: Simplify right side
    801.27x = 559,311.96
  5. Step 5: Solve for x
    x = 559,311.96/801.27
  6. Step 6: Final answer
    x = 698.03

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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.