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Finding the Fourth Proportional to 1,704.80, 2,555.24 and 827.75

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Solution

The fourth proportional to 1,704.80, 2,555.24 and 827.75 is: 1,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.80 : 2,555.24 = 827.75 : x
  2. Step 2: Convert to fraction form
    1,704.80/2,555.24 = 827.75/x
  3. Step 3: Cross multiply
    1,704.80x = 2,555.24 × 827.75
  4. Step 4: Simplify right side
    1,704.80x = 2,115,083.00
  5. Step 5: Solve for x
    x = 2,115,083.00/1,704.80
  6. Step 6: Final answer
    x = 1,240.67

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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.