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Finding the Fourth Proportional to 869.33, 1,198.73 and 589.61

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Solution

The fourth proportional to 869.33, 1,198.73 and 589.61 is: 813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.33 : 1,198.73 = 589.61 : x
  2. Step 2: Convert to fraction form
    869.33/1,198.73 = 589.61/x
  3. Step 3: Cross multiply
    869.33x = 1,198.73 × 589.61
  4. Step 4: Simplify right side
    869.33x = 706,780.25
  5. Step 5: Solve for x
    x = 706,780.25/869.33
  6. Step 6: Final answer
    x = 813.02

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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.