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Finding the Fourth Proportional to 1,469.58, 2,204.97 and 647.43

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Solution

The fourth proportional to 1,469.58, 2,204.97 and 647.43 is: 971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.58 : 2,204.97 = 647.43 : x
  2. Step 2: Convert to fraction form
    1,469.58/2,204.97 = 647.43/x
  3. Step 3: Cross multiply
    1,469.58x = 2,204.97 × 647.43
  4. Step 4: Simplify right side
    1,469.58x = 1,427,563.73
  5. Step 5: Solve for x
    x = 1,427,563.73/1,469.58
  6. Step 6: Final answer
    x = 971.41

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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.