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Finding the Fourth Proportional to 1,049.11, 1,573.93 and 741.57

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Solution

The fourth proportional to 1,049.11, 1,573.93 and 741.57 is: 1,112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.11 : 1,573.93 = 741.57 : x
  2. Step 2: Convert to fraction form
    1,049.11/1,573.93 = 741.57/x
  3. Step 3: Cross multiply
    1,049.11x = 1,573.93 × 741.57
  4. Step 4: Simplify right side
    1,049.11x = 1,167,179.27
  5. Step 5: Solve for x
    x = 1,167,179.27/1,049.11
  6. Step 6: Final answer
    x = 1,112.54

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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.