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Finding the Fourth Proportional to 1,202.26, 1,801.56 and 892.66

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Solution

The fourth proportional to 1,202.26, 1,801.56 and 892.66 is: 1,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.26 : 1,801.56 = 892.66 : x
  2. Step 2: Convert to fraction form
    1,202.26/1,801.56 = 892.66/x
  3. Step 3: Cross multiply
    1,202.26x = 1,801.56 × 892.66
  4. Step 4: Simplify right side
    1,202.26x = 1,608,180.55
  5. Step 5: Solve for x
    x = 1,608,180.55/1,202.26
  6. Step 6: Final answer
    x = 1,337.64

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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.