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Finding the Fourth Proportional to 1,096.16, 1,505.06 and 1,067.62

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Solution

The fourth proportional to 1,096.16, 1,505.06 and 1,067.62 is: 1,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.16 : 1,505.06 = 1,067.62 : x
  2. Step 2: Convert to fraction form
    1,096.16/1,505.06 = 1,067.62/x
  3. Step 3: Cross multiply
    1,096.16x = 1,505.06 × 1,067.62
  4. Step 4: Simplify right side
    1,096.16x = 1,606,832.16
  5. Step 5: Solve for x
    x = 1,606,832.16/1,096.16
  6. Step 6: Final answer
    x = 1,465.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.