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Finding the Fourth Proportional to 1,356.46, 1,871.90 and 796.83

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Solution

The fourth proportional to 1,356.46, 1,871.90 and 796.83 is: 1,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.46 : 1,871.90 = 796.83 : x
  2. Step 2: Convert to fraction form
    1,356.46/1,871.90 = 796.83/x
  3. Step 3: Cross multiply
    1,356.46x = 1,871.90 × 796.83
  4. Step 4: Simplify right side
    1,356.46x = 1,491,582.09
  5. Step 5: Solve for x
    x = 1,491,582.09/1,356.46
  6. Step 6: Final answer
    x = 1,099.62

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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.