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Finding the Fourth Proportional to 1,198.92, 1,796.10 and 581.76

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Solution

The fourth proportional to 1,198.92, 1,796.10 and 581.76 is: 871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.92 : 1,796.10 = 581.76 : x
  2. Step 2: Convert to fraction form
    1,198.92/1,796.10 = 581.76/x
  3. Step 3: Cross multiply
    1,198.92x = 1,796.10 × 581.76
  4. Step 4: Simplify right side
    1,198.92x = 1,044,899.14
  5. Step 5: Solve for x
    x = 1,044,899.14/1,198.92
  6. Step 6: Final answer
    x = 871.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.