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Finding the Fourth Proportional to 1,197.20, 1,794.96 and 547.04

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Solution

The fourth proportional to 1,197.20, 1,794.96 and 547.04 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.20 : 1,794.96 = 547.04 : x
  2. Step 2: Convert to fraction form
    1,197.20/1,794.96 = 547.04/x
  3. Step 3: Cross multiply
    1,197.20x = 1,794.96 × 547.04
  4. Step 4: Simplify right side
    1,197.20x = 981,914.92
  5. Step 5: Solve for x
    x = 981,914.92/1,197.20
  6. Step 6: Final answer
    x = 820.18

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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.