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Finding the Fourth Proportional to 1,469.80, 2,204.67 and 689.61

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Solution

The fourth proportional to 1,469.80, 2,204.67 and 689.61 is: 1,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.80 : 2,204.67 = 689.61 : x
  2. Step 2: Convert to fraction form
    1,469.80/2,204.67 = 689.61/x
  3. Step 3: Cross multiply
    1,469.80x = 2,204.67 × 689.61
  4. Step 4: Simplify right side
    1,469.80x = 1,520,369.45
  5. Step 5: Solve for x
    x = 1,520,369.45/1,469.80
  6. Step 6: Final answer
    x = 1,034.41

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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.