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Finding the Fourth Proportional to 796.86, 1,193.97 and 564.60

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Solution

The fourth proportional to 796.86, 1,193.97 and 564.60 is: 845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.86 : 1,193.97 = 564.60 : x
  2. Step 2: Convert to fraction form
    796.86/1,193.97 = 564.60/x
  3. Step 3: Cross multiply
    796.86x = 1,193.97 × 564.60
  4. Step 4: Simplify right side
    796.86x = 674,115.46
  5. Step 5: Solve for x
    x = 674,115.46/796.86
  6. Step 6: Final answer
    x = 845.96

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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.