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Finding the Fourth Proportional to 801.94, 1,197.38 and 680.26

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Solution

The fourth proportional to 801.94, 1,197.38 and 680.26 is: 1,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.94 : 1,197.38 = 680.26 : x
  2. Step 2: Convert to fraction form
    801.94/1,197.38 = 680.26/x
  3. Step 3: Cross multiply
    801.94x = 1,197.38 × 680.26
  4. Step 4: Simplify right side
    801.94x = 814,529.72
  5. Step 5: Solve for x
    x = 814,529.72/801.94
  6. Step 6: Final answer
    x = 1,015.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.