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Finding the Fourth Proportional to 892.14, 1,334.97 and 736.62

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Solution

The fourth proportional to 892.14, 1,334.97 and 736.62 is: 1,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,334.97 = 736.62 : x
  2. Step 2: Convert to fraction form
    892.14/1,334.97 = 736.62/x
  3. Step 3: Cross multiply
    892.14x = 1,334.97 × 736.62
  4. Step 4: Simplify right side
    892.14x = 983,365.60
  5. Step 5: Solve for x
    x = 983,365.60/892.14
  6. Step 6: Final answer
    x = 1,102.25

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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.