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Finding the Fourth Proportional to 1,185.49, 1,635.81 and 661.55

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Solution

The fourth proportional to 1,185.49, 1,635.81 and 661.55 is: 912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.49 : 1,635.81 = 661.55 : x
  2. Step 2: Convert to fraction form
    1,185.49/1,635.81 = 661.55/x
  3. Step 3: Cross multiply
    1,185.49x = 1,635.81 × 661.55
  4. Step 4: Simplify right side
    1,185.49x = 1,082,170.11
  5. Step 5: Solve for x
    x = 1,082,170.11/1,185.49
  6. Step 6: Final answer
    x = 912.85

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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.