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Finding the Fourth Proportional to 1,074.21, 1,611.44 and 416.07

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Solution

The fourth proportional to 1,074.21, 1,611.44 and 416.07 is: 624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.21 : 1,611.44 = 416.07 : x
  2. Step 2: Convert to fraction form
    1,074.21/1,611.44 = 416.07/x
  3. Step 3: Cross multiply
    1,074.21x = 1,611.44 × 416.07
  4. Step 4: Simplify right side
    1,074.21x = 670,471.84
  5. Step 5: Solve for x
    x = 670,471.84/1,074.21
  6. Step 6: Final answer
    x = 624.15

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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.