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Finding the Fourth Proportional to 813.38, 1,220.07 and 197.08

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Solution

The fourth proportional to 813.38, 1,220.07 and 197.08 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.38 : 1,220.07 = 197.08 : x
  2. Step 2: Convert to fraction form
    813.38/1,220.07 = 197.08/x
  3. Step 3: Cross multiply
    813.38x = 1,220.07 × 197.08
  4. Step 4: Simplify right side
    813.38x = 240,451.12
  5. Step 5: Solve for x
    x = 240,451.12/813.38
  6. Step 6: Final answer
    x = 295.62

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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.