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Finding the Fourth Proportional to 1,141.86, 1,576.36 and 791.94

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Solution

The fourth proportional to 1,141.86, 1,576.36 and 791.94 is: 1,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.86 : 1,576.36 = 791.94 : x
  2. Step 2: Convert to fraction form
    1,141.86/1,576.36 = 791.94/x
  3. Step 3: Cross multiply
    1,141.86x = 1,576.36 × 791.94
  4. Step 4: Simplify right side
    1,141.86x = 1,248,382.54
  5. Step 5: Solve for x
    x = 1,248,382.54/1,141.86
  6. Step 6: Final answer
    x = 1,093.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.