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Finding the Fourth Proportional to 1,074.76, 1,611.42 and 641.68

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Solution

The fourth proportional to 1,074.76, 1,611.42 and 641.68 is: 962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.76 : 1,611.42 = 641.68 : x
  2. Step 2: Convert to fraction form
    1,074.76/1,611.42 = 641.68/x
  3. Step 3: Cross multiply
    1,074.76x = 1,611.42 × 641.68
  4. Step 4: Simplify right side
    1,074.76x = 1,034,015.99
  5. Step 5: Solve for x
    x = 1,034,015.99/1,074.76
  6. Step 6: Final answer
    x = 962.09

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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.