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Finding the Fourth Proportional to 1,485.53, 2,226.60 and 704.43

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Solution

The fourth proportional to 1,485.53, 2,226.60 and 704.43 is: 1,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.53 : 2,226.60 = 704.43 : x
  2. Step 2: Convert to fraction form
    1,485.53/2,226.60 = 704.43/x
  3. Step 3: Cross multiply
    1,485.53x = 2,226.60 × 704.43
  4. Step 4: Simplify right side
    1,485.53x = 1,568,478.57
  5. Step 5: Solve for x
    x = 1,568,478.57/1,485.53
  6. Step 6: Final answer
    x = 1,055.84

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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.