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Finding the Fourth Proportional to 813.17, 1,219.94 and 265.39

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Solution

The fourth proportional to 813.17, 1,219.94 and 265.39 is: 398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.17 : 1,219.94 = 265.39 : x
  2. Step 2: Convert to fraction form
    813.17/1,219.94 = 265.39/x
  3. Step 3: Cross multiply
    813.17x = 1,219.94 × 265.39
  4. Step 4: Simplify right side
    813.17x = 323,764.85
  5. Step 5: Solve for x
    x = 323,764.85/813.17
  6. Step 6: Final answer
    x = 398.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.