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Finding the Fourth Proportional to 799.25, 1,197.66 and 538.29

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Solution

The fourth proportional to 799.25, 1,197.66 and 538.29 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.25 : 1,197.66 = 538.29 : x
  2. Step 2: Convert to fraction form
    799.25/1,197.66 = 538.29/x
  3. Step 3: Cross multiply
    799.25x = 1,197.66 × 538.29
  4. Step 4: Simplify right side
    799.25x = 644,688.40
  5. Step 5: Solve for x
    x = 644,688.40/799.25
  6. Step 6: Final answer
    x = 806.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.