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Finding the Fourth Proportional to 800.11, 1,101.94 and 689.55

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Solution

The fourth proportional to 800.11, 1,101.94 and 689.55 is: 949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.11 : 1,101.94 = 689.55 : x
  2. Step 2: Convert to fraction form
    800.11/1,101.94 = 689.55/x
  3. Step 3: Cross multiply
    800.11x = 1,101.94 × 689.55
  4. Step 4: Simplify right side
    800.11x = 759,836.87
  5. Step 5: Solve for x
    x = 759,836.87/800.11
  6. Step 6: Final answer
    x = 949.66

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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.