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Finding the Fourth Proportional to 1,689.97, 2,533.80 and 579.09

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Solution

The fourth proportional to 1,689.97, 2,533.80 and 579.09 is: 868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.97 : 2,533.80 = 579.09 : x
  2. Step 2: Convert to fraction form
    1,689.97/2,533.80 = 579.09/x
  3. Step 3: Cross multiply
    1,689.97x = 2,533.80 × 579.09
  4. Step 4: Simplify right side
    1,689.97x = 1,467,286.97
  5. Step 5: Solve for x
    x = 1,467,286.97/1,689.97
  6. Step 6: Final answer
    x = 868.23

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