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Finding the Fourth Proportional to 1,074.48, 1,611.24 and 380.92

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Solution

The fourth proportional to 1,074.48, 1,611.24 and 380.92 is: 571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.48 : 1,611.24 = 380.92 : x
  2. Step 2: Convert to fraction form
    1,074.48/1,611.24 = 380.92/x
  3. Step 3: Cross multiply
    1,074.48x = 1,611.24 × 380.92
  4. Step 4: Simplify right side
    1,074.48x = 613,753.54
  5. Step 5: Solve for x
    x = 613,753.54/1,074.48
  6. Step 6: Final answer
    x = 571.21

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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.