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Finding the Fourth Proportional to 1,185.94, 1,635.75 and 871.30

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Solution

The fourth proportional to 1,185.94, 1,635.75 and 871.30 is: 1,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.94 : 1,635.75 = 871.30 : x
  2. Step 2: Convert to fraction form
    1,185.94/1,635.75 = 871.30/x
  3. Step 3: Cross multiply
    1,185.94x = 1,635.75 × 871.30
  4. Step 4: Simplify right side
    1,185.94x = 1,425,228.98
  5. Step 5: Solve for x
    x = 1,425,228.98/1,185.94
  6. Step 6: Final answer
    x = 1,201.77

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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.