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Finding the Fourth Proportional to 1,074.71, 1,611.97 and 344.30

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Solution

The fourth proportional to 1,074.71, 1,611.97 and 344.30 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.71 : 1,611.97 = 344.30 : x
  2. Step 2: Convert to fraction form
    1,074.71/1,611.97 = 344.30/x
  3. Step 3: Cross multiply
    1,074.71x = 1,611.97 × 344.30
  4. Step 4: Simplify right side
    1,074.71x = 554,992.35
  5. Step 5: Solve for x
    x = 554,992.35/1,074.71
  6. Step 6: Final answer
    x = 516.41

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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.