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Finding the Fourth Proportional to 796.25, 1,192.98 and 552.93

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Solution

The fourth proportional to 796.25, 1,192.98 and 552.93 is: 828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.25 : 1,192.98 = 552.93 : x
  2. Step 2: Convert to fraction form
    796.25/1,192.98 = 552.93/x
  3. Step 3: Cross multiply
    796.25x = 1,192.98 × 552.93
  4. Step 4: Simplify right side
    796.25x = 659,634.43
  5. Step 5: Solve for x
    x = 659,634.43/796.25
  6. Step 6: Final answer
    x = 828.43

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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.