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Finding the Fourth Proportional to 813.81, 1,220.68 and 265.98

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Solution

The fourth proportional to 813.81, 1,220.68 and 265.98 is: 398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.81 : 1,220.68 = 265.98 : x
  2. Step 2: Convert to fraction form
    813.81/1,220.68 = 265.98/x
  3. Step 3: Cross multiply
    813.81x = 1,220.68 × 265.98
  4. Step 4: Simplify right side
    813.81x = 324,676.47
  5. Step 5: Solve for x
    x = 324,676.47/813.81
  6. Step 6: Final answer
    x = 398.96

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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.