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Finding the Fourth Proportional to 869.05, 1,198.78 and 537.82

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Solution

The fourth proportional to 869.05, 1,198.78 and 537.82 is: 741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.05 : 1,198.78 = 537.82 : x
  2. Step 2: Convert to fraction form
    869.05/1,198.78 = 537.82/x
  3. Step 3: Cross multiply
    869.05x = 1,198.78 × 537.82
  4. Step 4: Simplify right side
    869.05x = 644,727.86
  5. Step 5: Solve for x
    x = 644,727.86/869.05
  6. Step 6: Final answer
    x = 741.88

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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.