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Finding the Fourth Proportional to 812.73, 1,219.25 and 264.77

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Solution

The fourth proportional to 812.73, 1,219.25 and 264.77 is: 397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.73 : 1,219.25 = 264.77 : x
  2. Step 2: Convert to fraction form
    812.73/1,219.25 = 264.77/x
  3. Step 3: Cross multiply
    812.73x = 1,219.25 × 264.77
  4. Step 4: Simplify right side
    812.73x = 322,813.40
  5. Step 5: Solve for x
    x = 322,813.40/812.73
  6. Step 6: Final answer
    x = 397.20

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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.