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Finding the Fourth Proportional to 1,137.23, 1,704.05 and 827.66

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Solution

The fourth proportional to 1,137.23, 1,704.05 and 827.66 is: 1,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.23 : 1,704.05 = 827.66 : x
  2. Step 2: Convert to fraction form
    1,137.23/1,704.05 = 827.66/x
  3. Step 3: Cross multiply
    1,137.23x = 1,704.05 × 827.66
  4. Step 4: Simplify right side
    1,137.23x = 1,410,374.14
  5. Step 5: Solve for x
    x = 1,410,374.14/1,137.23
  6. Step 6: Final answer
    x = 1,240.18

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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.