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Finding the Fourth Proportional to 801.99, 1,105.71 and 657.73

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Solution

The fourth proportional to 801.99, 1,105.71 and 657.73 is: 906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.99 : 1,105.71 = 657.73 : x
  2. Step 2: Convert to fraction form
    801.99/1,105.71 = 657.73/x
  3. Step 3: Cross multiply
    801.99x = 1,105.71 × 657.73
  4. Step 4: Simplify right side
    801.99x = 727,260.28
  5. Step 5: Solve for x
    x = 727,260.28/801.99
  6. Step 6: Final answer
    x = 906.82

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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.