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Finding the Fourth Proportional to 869.09, 1,198.09 and 537.32

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Solution

The fourth proportional to 869.09, 1,198.09 and 537.32 is: 740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.09 : 1,198.09 = 537.32 : x
  2. Step 2: Convert to fraction form
    869.09/1,198.09 = 537.32/x
  3. Step 3: Cross multiply
    869.09x = 1,198.09 × 537.32
  4. Step 4: Simplify right side
    869.09x = 643,759.37
  5. Step 5: Solve for x
    x = 643,759.37/869.09
  6. Step 6: Final answer
    x = 740.73

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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.