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Finding the Fourth Proportional to 802, 1,105.73 and 506.75

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Solution

The fourth proportional to 802, 1,105.73 and 506.75 is: 698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    802 : 1,105.73 = 506.75 : x
  2. Step 2: Convert to fraction form
    802/1,105.73 = 506.75/x
  3. Step 3: Cross multiply
    802x = 1,105.73 × 506.75
  4. Step 4: Simplify right side
    802x = 560,328.68
  5. Step 5: Solve for x
    x = 560,328.68/802
  6. Step 6: Final answer
    x = 698.66

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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.