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Finding the Fourth Proportional to 1,074.15, 1,611.35 and 343.56

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Solution

The fourth proportional to 1,074.15, 1,611.35 and 343.56 is: 515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.15 : 1,611.35 = 343.56 : x
  2. Step 2: Convert to fraction form
    1,074.15/1,611.35 = 343.56/x
  3. Step 3: Cross multiply
    1,074.15x = 1,611.35 × 343.56
  4. Step 4: Simplify right side
    1,074.15x = 553,593.69
  5. Step 5: Solve for x
    x = 553,593.69/1,074.15
  6. Step 6: Final answer
    x = 515.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.