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Finding the Fourth Proportional to 1,197.62, 1,796.39 and 494.81

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Solution

The fourth proportional to 1,197.62, 1,796.39 and 494.81 is: 742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.62 : 1,796.39 = 494.81 : x
  2. Step 2: Convert to fraction form
    1,197.62/1,796.39 = 494.81/x
  3. Step 3: Cross multiply
    1,197.62x = 1,796.39 × 494.81
  4. Step 4: Simplify right side
    1,197.62x = 888,869.26
  5. Step 5: Solve for x
    x = 888,869.26/1,197.62
  6. Step 6: Final answer
    x = 742.20

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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.