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Finding the Fourth Proportional to 1,074.24, 1,611.63 and 343.80

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Solution

The fourth proportional to 1,074.24, 1,611.63 and 343.80 is: 515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.24 : 1,611.63 = 343.80 : x
  2. Step 2: Convert to fraction form
    1,074.24/1,611.63 = 343.80/x
  3. Step 3: Cross multiply
    1,074.24x = 1,611.63 × 343.80
  4. Step 4: Simplify right side
    1,074.24x = 554,078.39
  5. Step 5: Solve for x
    x = 554,078.39/1,074.24
  6. Step 6: Final answer
    x = 515.79

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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.