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Finding the Fourth Proportional to 1,489, 2,234.82 and 709.48

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Solution

The fourth proportional to 1,489, 2,234.82 and 709.48 is: 1,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489 : 2,234.82 = 709.48 : x
  2. Step 2: Convert to fraction form
    1,489/2,234.82 = 709.48/x
  3. Step 3: Cross multiply
    1,489x = 2,234.82 × 709.48
  4. Step 4: Simplify right side
    1,489x = 1,585,560.09
  5. Step 5: Solve for x
    x = 1,585,560.09/1,489
  6. Step 6: Final answer
    x = 1,064.85

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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.