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Finding the Fourth Proportional to 1,233.08, 1,701.65 and 791.24

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Solution

The fourth proportional to 1,233.08, 1,701.65 and 791.24 is: 1,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.08 : 1,701.65 = 791.24 : x
  2. Step 2: Convert to fraction form
    1,233.08/1,701.65 = 791.24/x
  3. Step 3: Cross multiply
    1,233.08x = 1,701.65 × 791.24
  4. Step 4: Simplify right side
    1,233.08x = 1,346,401.08
  5. Step 5: Solve for x
    x = 1,346,401.08/1,233.08
  6. Step 6: Final answer
    x = 1,091.91

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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.