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Finding the Fourth Proportional to 813.76, 1,220.38 and 265.83

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Solution

The fourth proportional to 813.76, 1,220.38 and 265.83 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.76 : 1,220.38 = 265.83 : x
  2. Step 2: Convert to fraction form
    813.76/1,220.38 = 265.83/x
  3. Step 3: Cross multiply
    813.76x = 1,220.38 × 265.83
  4. Step 4: Simplify right side
    813.76x = 324,413.62
  5. Step 5: Solve for x
    x = 324,413.62/813.76
  6. Step 6: Final answer
    x = 398.66

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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.