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Finding the Fourth Proportional to 892.89, 1,338.12 and 661.95

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Solution

The fourth proportional to 892.89, 1,338.12 and 661.95 is: 992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.89 : 1,338.12 = 661.95 : x
  2. Step 2: Convert to fraction form
    892.89/1,338.12 = 661.95/x
  3. Step 3: Cross multiply
    892.89x = 1,338.12 × 661.95
  4. Step 4: Simplify right side
    892.89x = 885,768.53
  5. Step 5: Solve for x
    x = 885,768.53/892.89
  6. Step 6: Final answer
    x = 992.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.