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Finding the Fourth Proportional to 813.70, 1,220.78 and 265.82

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Solution

The fourth proportional to 813.70, 1,220.78 and 265.82 is: 398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.70 : 1,220.78 = 265.82 : x
  2. Step 2: Convert to fraction form
    813.70/1,220.78 = 265.82/x
  3. Step 3: Cross multiply
    813.70x = 1,220.78 × 265.82
  4. Step 4: Simplify right side
    813.70x = 324,500.31
  5. Step 5: Solve for x
    x = 324,500.31/813.70
  6. Step 6: Final answer
    x = 398.80

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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.