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Finding the Fourth Proportional to 1,103.09, 1,653.99 and 756.81

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Solution

The fourth proportional to 1,103.09, 1,653.99 and 756.81 is: 1,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.09 : 1,653.99 = 756.81 : x
  2. Step 2: Convert to fraction form
    1,103.09/1,653.99 = 756.81/x
  3. Step 3: Cross multiply
    1,103.09x = 1,653.99 × 756.81
  4. Step 4: Simplify right side
    1,103.09x = 1,251,753.33
  5. Step 5: Solve for x
    x = 1,251,753.33/1,103.09
  6. Step 6: Final answer
    x = 1,134.78

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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.