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Finding the Fourth Proportional to 1,197.81, 1,796.09 and 539.12

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Solution

The fourth proportional to 1,197.81, 1,796.09 and 539.12 is: 808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.81 : 1,796.09 = 539.12 : x
  2. Step 2: Convert to fraction form
    1,197.81/1,796.09 = 539.12/x
  3. Step 3: Cross multiply
    1,197.81x = 1,796.09 × 539.12
  4. Step 4: Simplify right side
    1,197.81x = 968,299.06
  5. Step 5: Solve for x
    x = 968,299.06/1,197.81
  6. Step 6: Final answer
    x = 808.39

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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.