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Finding the Fourth Proportional to 1,074.29, 1,611.55 and 416.14

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Solution

The fourth proportional to 1,074.29, 1,611.55 and 416.14 is: 624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.29 : 1,611.55 = 416.14 : x
  2. Step 2: Convert to fraction form
    1,074.29/1,611.55 = 416.14/x
  3. Step 3: Cross multiply
    1,074.29x = 1,611.55 × 416.14
  4. Step 4: Simplify right side
    1,074.29x = 670,624.57
  5. Step 5: Solve for x
    x = 670,624.57/1,074.29
  6. Step 6: Final answer
    x = 624.25

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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.