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Finding the Fourth Proportional to 1,485.59, 2,226.92 and 704.22

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Solution

The fourth proportional to 1,485.59, 2,226.92 and 704.22 is: 1,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.59 : 2,226.92 = 704.22 : x
  2. Step 2: Convert to fraction form
    1,485.59/2,226.92 = 704.22/x
  3. Step 3: Cross multiply
    1,485.59x = 2,226.92 × 704.22
  4. Step 4: Simplify right side
    1,485.59x = 1,568,238.08
  5. Step 5: Solve for x
    x = 1,568,238.08/1,485.59
  6. Step 6: Final answer
    x = 1,055.63

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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.