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Finding the Fourth Proportional to 796.35, 1,192.78 and 564.54

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Solution

The fourth proportional to 796.35, 1,192.78 and 564.54 is: 845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.35 : 1,192.78 = 564.54 : x
  2. Step 2: Convert to fraction form
    796.35/1,192.78 = 564.54/x
  3. Step 3: Cross multiply
    796.35x = 1,192.78 × 564.54
  4. Step 4: Simplify right side
    796.35x = 673,367.47
  5. Step 5: Solve for x
    x = 673,367.47/796.35
  6. Step 6: Final answer
    x = 845.57

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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.