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Finding the Fourth Proportional to 796.78, 1,097.31 and 723.34

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Solution

The fourth proportional to 796.78, 1,097.31 and 723.34 is: 996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.78 : 1,097.31 = 723.34 : x
  2. Step 2: Convert to fraction form
    796.78/1,097.31 = 723.34/x
  3. Step 3: Cross multiply
    796.78x = 1,097.31 × 723.34
  4. Step 4: Simplify right side
    796.78x = 793,728.22
  5. Step 5: Solve for x
    x = 793,728.22/796.78
  6. Step 6: Final answer
    x = 996.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.