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Finding the Fourth Proportional to 813.51, 1,220.31 and 265.86

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Solution

The fourth proportional to 813.51, 1,220.31 and 265.86 is: 398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.51 : 1,220.31 = 265.86 : x
  2. Step 2: Convert to fraction form
    813.51/1,220.31 = 265.86/x
  3. Step 3: Cross multiply
    813.51x = 1,220.31 × 265.86
  4. Step 4: Simplify right side
    813.51x = 324,431.62
  5. Step 5: Solve for x
    x = 324,431.62/813.51
  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.