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Finding the Fourth Proportional to 803.82, 1,206 and 798.42

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Solution

The fourth proportional to 803.82, 1,206 and 798.42 is: 1,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,206 = 798.42 : x
  2. Step 2: Convert to fraction form
    803.82/1,206 = 798.42/x
  3. Step 3: Cross multiply
    803.82x = 1,206 × 798.42
  4. Step 4: Simplify right side
    803.82x = 962,894.52
  5. Step 5: Solve for x
    x = 962,894.52/803.82
  6. Step 6: Final answer
    x = 1,197.90

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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.