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Finding the Fourth Proportional to 796.23, 1,192.52 and 716.04

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Solution

The fourth proportional to 796.23, 1,192.52 and 716.04 is: 1,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.23 : 1,192.52 = 716.04 : x
  2. Step 2: Convert to fraction form
    796.23/1,192.52 = 716.04/x
  3. Step 3: Cross multiply
    796.23x = 1,192.52 × 716.04
  4. Step 4: Simplify right side
    796.23x = 853,893.81
  5. Step 5: Solve for x
    x = 853,893.81/796.23
  6. Step 6: Final answer
    x = 1,072.42

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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.