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Finding the Fourth Proportional to 1,356.08, 1,871.42 and 796.57

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Solution

The fourth proportional to 1,356.08, 1,871.42 and 796.57 is: 1,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.08 : 1,871.42 = 796.57 : x
  2. Step 2: Convert to fraction form
    1,356.08/1,871.42 = 796.57/x
  3. Step 3: Cross multiply
    1,356.08x = 1,871.42 × 796.57
  4. Step 4: Simplify right side
    1,356.08x = 1,490,708.37
  5. Step 5: Solve for x
    x = 1,490,708.37/1,356.08
  6. Step 6: Final answer
    x = 1,099.28

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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.