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Finding the Fourth Proportional to 1,106.38, 1,661.99 and 1,069.48

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Solution

The fourth proportional to 1,106.38, 1,661.99 and 1,069.48 is: 1,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.38 : 1,661.99 = 1,069.48 : x
  2. Step 2: Convert to fraction form
    1,106.38/1,661.99 = 1,069.48/x
  3. Step 3: Cross multiply
    1,106.38x = 1,661.99 × 1,069.48
  4. Step 4: Simplify right side
    1,106.38x = 1,777,465.07
  5. Step 5: Solve for x
    x = 1,777,465.07/1,106.38
  6. Step 6: Final answer
    x = 1,606.56

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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.