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Finding the Fourth Proportional to 1,185.41, 1,635.87 and 661.47

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Solution

The fourth proportional to 1,185.41, 1,635.87 and 661.47 is: 912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.41 : 1,635.87 = 661.47 : x
  2. Step 2: Convert to fraction form
    1,185.41/1,635.87 = 661.47/x
  3. Step 3: Cross multiply
    1,185.41x = 1,635.87 × 661.47
  4. Step 4: Simplify right side
    1,185.41x = 1,082,078.93
  5. Step 5: Solve for x
    x = 1,082,078.93/1,185.41
  6. Step 6: Final answer
    x = 912.83

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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.