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Finding the Fourth Proportional to 891.64, 1,334.22 and 736.12

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Solution

The fourth proportional to 891.64, 1,334.22 and 736.12 is: 1,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.64 : 1,334.22 = 736.12 : x
  2. Step 2: Convert to fraction form
    891.64/1,334.22 = 736.12/x
  3. Step 3: Cross multiply
    891.64x = 1,334.22 × 736.12
  4. Step 4: Simplify right side
    891.64x = 982,146.03
  5. Step 5: Solve for x
    x = 982,146.03/891.64
  6. Step 6: Final answer
    x = 1,101.51

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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.