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Finding the Fourth Proportional to 1,221.53, 1,684.01 and 827.87

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Solution

The fourth proportional to 1,221.53, 1,684.01 and 827.87 is: 1,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.53 : 1,684.01 = 827.87 : x
  2. Step 2: Convert to fraction form
    1,221.53/1,684.01 = 827.87/x
  3. Step 3: Cross multiply
    1,221.53x = 1,684.01 × 827.87
  4. Step 4: Simplify right side
    1,221.53x = 1,394,135.01
  5. Step 5: Solve for x
    x = 1,394,135.01/1,221.53
  6. Step 6: Final answer
    x = 1,141.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.