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Finding the Fourth Proportional to 798.10, 1,197.17 and 220.98

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Solution

The fourth proportional to 798.10, 1,197.17 and 220.98 is: 331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.10 : 1,197.17 = 220.98 : x
  2. Step 2: Convert to fraction form
    798.10/1,197.17 = 220.98/x
  3. Step 3: Cross multiply
    798.10x = 1,197.17 × 220.98
  4. Step 4: Simplify right side
    798.10x = 264,545.03
  5. Step 5: Solve for x
    x = 264,545.03/798.10
  6. Step 6: Final answer
    x = 331.47

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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.