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Finding the Fourth Proportional to 812.82, 1,219.43 and 235.70

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Solution

The fourth proportional to 812.82, 1,219.43 and 235.70 is: 353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.82 : 1,219.43 = 235.70 : x
  2. Step 2: Convert to fraction form
    812.82/1,219.43 = 235.70/x
  3. Step 3: Cross multiply
    812.82x = 1,219.43 × 235.70
  4. Step 4: Simplify right side
    812.82x = 287,412.38
  5. Step 5: Solve for x
    x = 287,412.38/812.82
  6. Step 6: Final answer
    x = 353.60

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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.