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Finding the Fourth Proportional to 813.73, 1,220.46 and 265.91

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Solution

The fourth proportional to 813.73, 1,220.46 and 265.91 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.73 : 1,220.46 = 265.91 : x
  2. Step 2: Convert to fraction form
    813.73/1,220.46 = 265.91/x
  3. Step 3: Cross multiply
    813.73x = 1,220.46 × 265.91
  4. Step 4: Simplify right side
    813.73x = 324,533.18
  5. Step 5: Solve for x
    x = 324,533.18/813.73
  6. Step 6: Final answer
    x = 398.82

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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.