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Finding the Fourth Proportional to 1,185.14, 1,635.60 and 889.88

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Solution

The fourth proportional to 1,185.14, 1,635.60 and 889.88 is: 1,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.14 : 1,635.60 = 889.88 : x
  2. Step 2: Convert to fraction form
    1,185.14/1,635.60 = 889.88/x
  3. Step 3: Cross multiply
    1,185.14x = 1,635.60 × 889.88
  4. Step 4: Simplify right side
    1,185.14x = 1,455,487.73
  5. Step 5: Solve for x
    x = 1,455,487.73/1,185.14
  6. Step 6: Final answer
    x = 1,228.11

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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.