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Finding the Fourth Proportional to 1,197.38, 1,795.87 and 547.97

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Solution

The fourth proportional to 1,197.38, 1,795.87 and 547.97 is: 821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.38 : 1,795.87 = 547.97 : x
  2. Step 2: Convert to fraction form
    1,197.38/1,795.87 = 547.97/x
  3. Step 3: Cross multiply
    1,197.38x = 1,795.87 × 547.97
  4. Step 4: Simplify right side
    1,197.38x = 984,074.59
  5. Step 5: Solve for x
    x = 984,074.59/1,197.38
  6. Step 6: Final answer
    x = 821.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.