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Finding the Fourth Proportional to 1,074.39, 1,611.58 and 380.68

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Solution

The fourth proportional to 1,074.39, 1,611.58 and 380.68 is: 571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.39 : 1,611.58 = 380.68 : x
  2. Step 2: Convert to fraction form
    1,074.39/1,611.58 = 380.68/x
  3. Step 3: Cross multiply
    1,074.39x = 1,611.58 × 380.68
  4. Step 4: Simplify right side
    1,074.39x = 613,487.26
  5. Step 5: Solve for x
    x = 613,487.26/1,074.39
  6. Step 6: Final answer
    x = 571.01

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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.