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Finding the Fourth Proportional to 1,645.44, 2,469.72 and 606.44

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Solution

The fourth proportional to 1,645.44, 2,469.72 and 606.44 is: 910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.44 : 2,469.72 = 606.44 : x
  2. Step 2: Convert to fraction form
    1,645.44/2,469.72 = 606.44/x
  3. Step 3: Cross multiply
    1,645.44x = 2,469.72 × 606.44
  4. Step 4: Simplify right side
    1,645.44x = 1,497,745.45
  5. Step 5: Solve for x
    x = 1,497,745.45/1,645.44
  6. Step 6: Final answer
    x = 910.24

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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.