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Finding the Fourth Proportional to 1,385.83, 1,912.58 and 796.42

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Solution

The fourth proportional to 1,385.83, 1,912.58 and 796.42 is: 1,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.83 : 1,912.58 = 796.42 : x
  2. Step 2: Convert to fraction form
    1,385.83/1,912.58 = 796.42/x
  3. Step 3: Cross multiply
    1,385.83x = 1,912.58 × 796.42
  4. Step 4: Simplify right side
    1,385.83x = 1,523,216.96
  5. Step 5: Solve for x
    x = 1,523,216.96/1,385.83
  6. Step 6: Final answer
    x = 1,099.14

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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.