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Finding the Fourth Proportional to 746.53, 1,119.81 and 198.79

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Solution

The fourth proportional to 746.53, 1,119.81 and 198.79 is: 298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.53 : 1,119.81 = 198.79 : x
  2. Step 2: Convert to fraction form
    746.53/1,119.81 = 198.79/x
  3. Step 3: Cross multiply
    746.53x = 1,119.81 × 198.79
  4. Step 4: Simplify right side
    746.53x = 222,606.04
  5. Step 5: Solve for x
    x = 222,606.04/746.53
  6. Step 6: Final answer
    x = 298.19

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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.