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Finding the Fourth Proportional to 1,073.44, 1,609.70 and 611.43

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Solution

The fourth proportional to 1,073.44, 1,609.70 and 611.43 is: 916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.44 : 1,609.70 = 611.43 : x
  2. Step 2: Convert to fraction form
    1,073.44/1,609.70 = 611.43/x
  3. Step 3: Cross multiply
    1,073.44x = 1,609.70 × 611.43
  4. Step 4: Simplify right side
    1,073.44x = 984,215.81
  5. Step 5: Solve for x
    x = 984,215.81/1,073.44
  6. Step 6: Final answer
    x = 916.88

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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.