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Finding the Fourth Proportional to 1,073.94, 1,611.27 and 343.53

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Solution

The fourth proportional to 1,073.94, 1,611.27 and 343.53 is: 515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.94 : 1,611.27 = 343.53 : x
  2. Step 2: Convert to fraction form
    1,073.94/1,611.27 = 343.53/x
  3. Step 3: Cross multiply
    1,073.94x = 1,611.27 × 343.53
  4. Step 4: Simplify right side
    1,073.94x = 553,519.58
  5. Step 5: Solve for x
    x = 553,519.58/1,073.94
  6. Step 6: Final answer
    x = 515.41

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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.