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Finding the Fourth Proportional to 1,099.66, 1,647.93 and 969.38

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Solution

The fourth proportional to 1,099.66, 1,647.93 and 969.38 is: 1,452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.66 : 1,647.93 = 969.38 : x
  2. Step 2: Convert to fraction form
    1,099.66/1,647.93 = 969.38/x
  3. Step 3: Cross multiply
    1,099.66x = 1,647.93 × 969.38
  4. Step 4: Simplify right side
    1,099.66x = 1,597,470.38
  5. Step 5: Solve for x
    x = 1,597,470.38/1,099.66
  6. Step 6: Final answer
    x = 1,452.69

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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.