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Finding the Fourth Proportional to 796.82, 1,195.86 and 364.04

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Solution

The fourth proportional to 796.82, 1,195.86 and 364.04 is: 546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.82 : 1,195.86 = 364.04 : x
  2. Step 2: Convert to fraction form
    796.82/1,195.86 = 364.04/x
  3. Step 3: Cross multiply
    796.82x = 1,195.86 × 364.04
  4. Step 4: Simplify right side
    796.82x = 435,340.87
  5. Step 5: Solve for x
    x = 435,340.87/796.82
  6. Step 6: Final answer
    x = 546.35

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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.