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Finding the Fourth Proportional to 1,074.43, 1,609.83 and 488.47

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Solution

The fourth proportional to 1,074.43, 1,609.83 and 488.47 is: 731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.43 : 1,609.83 = 488.47 : x
  2. Step 2: Convert to fraction form
    1,074.43/1,609.83 = 488.47/x
  3. Step 3: Cross multiply
    1,074.43x = 1,609.83 × 488.47
  4. Step 4: Simplify right side
    1,074.43x = 786,353.66
  5. Step 5: Solve for x
    x = 786,353.66/1,074.43
  6. Step 6: Final answer
    x = 731.88

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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.