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Finding the Fourth Proportional to 796.23, 1,103.83 and 746.55

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Solution

The fourth proportional to 796.23, 1,103.83 and 746.55 is: 1,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.23 : 1,103.83 = 746.55 : x
  2. Step 2: Convert to fraction form
    796.23/1,103.83 = 746.55/x
  3. Step 3: Cross multiply
    796.23x = 1,103.83 × 746.55
  4. Step 4: Simplify right side
    796.23x = 824,062.42
  5. Step 5: Solve for x
    x = 824,062.42/796.23
  6. Step 6: Final answer
    x = 1,034.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.