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Finding the Fourth Proportional to 1,660.70, 2,489.49 and 564.29

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Solution

The fourth proportional to 1,660.70, 2,489.49 and 564.29 is: 845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.70 : 2,489.49 = 564.29 : x
  2. Step 2: Convert to fraction form
    1,660.70/2,489.49 = 564.29/x
  3. Step 3: Cross multiply
    1,660.70x = 2,489.49 × 564.29
  4. Step 4: Simplify right side
    1,660.70x = 1,404,794.31
  5. Step 5: Solve for x
    x = 1,404,794.31/1,660.70
  6. Step 6: Final answer
    x = 845.90

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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.