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Finding the Fourth Proportional to 1,355.72, 1,871.34 and 796.18

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Solution

The fourth proportional to 1,355.72, 1,871.34 and 796.18 is: 1,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.72 : 1,871.34 = 796.18 : x
  2. Step 2: Convert to fraction form
    1,355.72/1,871.34 = 796.18/x
  3. Step 3: Cross multiply
    1,355.72x = 1,871.34 × 796.18
  4. Step 4: Simplify right side
    1,355.72x = 1,489,918.80
  5. Step 5: Solve for x
    x = 1,489,918.80/1,355.72
  6. Step 6: Final answer
    x = 1,098.99

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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.