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Finding the Fourth Proportional to 796.74, 1,193.77 and 564.48

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Solution

The fourth proportional to 796.74, 1,193.77 and 564.48 is: 845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.74 : 1,193.77 = 564.48 : x
  2. Step 2: Convert to fraction form
    796.74/1,193.77 = 564.48/x
  3. Step 3: Cross multiply
    796.74x = 1,193.77 × 564.48
  4. Step 4: Simplify right side
    796.74x = 673,859.29
  5. Step 5: Solve for x
    x = 673,859.29/796.74
  6. Step 6: Final answer
    x = 845.77

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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.