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Finding the Fourth Proportional to 1,469.48, 2,205.09 and 648.41

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Solution

The fourth proportional to 1,469.48, 2,205.09 and 648.41 is: 972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.48 : 2,205.09 = 648.41 : x
  2. Step 2: Convert to fraction form
    1,469.48/2,205.09 = 648.41/x
  3. Step 3: Cross multiply
    1,469.48x = 2,205.09 × 648.41
  4. Step 4: Simplify right side
    1,469.48x = 1,429,791.38
  5. Step 5: Solve for x
    x = 1,429,791.38/1,469.48
  6. Step 6: Final answer
    x = 972.99

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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.