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Finding the Fourth Proportional to 1,232.91, 1,700.98 and 791.05

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Solution

The fourth proportional to 1,232.91, 1,700.98 and 791.05 is: 1,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.91 : 1,700.98 = 791.05 : x
  2. Step 2: Convert to fraction form
    1,232.91/1,700.98 = 791.05/x
  3. Step 3: Cross multiply
    1,232.91x = 1,700.98 × 791.05
  4. Step 4: Simplify right side
    1,232.91x = 1,345,560.23
  5. Step 5: Solve for x
    x = 1,345,560.23/1,232.91
  6. Step 6: Final answer
    x = 1,091.37

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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.