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Finding the Fourth Proportional to 1,074.60, 1,611.96 and 381.36

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Solution

The fourth proportional to 1,074.60, 1,611.96 and 381.36 is: 572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.60 : 1,611.96 = 381.36 : x
  2. Step 2: Convert to fraction form
    1,074.60/1,611.96 = 381.36/x
  3. Step 3: Cross multiply
    1,074.60x = 1,611.96 × 381.36
  4. Step 4: Simplify right side
    1,074.60x = 614,737.07
  5. Step 5: Solve for x
    x = 614,737.07/1,074.60
  6. Step 6: Final answer
    x = 572.06

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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.