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Finding the Fourth Proportional to 796.81, 1,096.61 and 674.08

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Solution

The fourth proportional to 796.81, 1,096.61 and 674.08 is: 927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.81 : 1,096.61 = 674.08 : x
  2. Step 2: Convert to fraction form
    796.81/1,096.61 = 674.08/x
  3. Step 3: Cross multiply
    796.81x = 1,096.61 × 674.08
  4. Step 4: Simplify right side
    796.81x = 739,199.50
  5. Step 5: Solve for x
    x = 739,199.50/796.81
  6. Step 6: Final answer
    x = 927.70

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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.