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Finding the Fourth Proportional to 812.94, 1,219.53 and 264.99

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Solution

The fourth proportional to 812.94, 1,219.53 and 264.99 is: 397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.94 : 1,219.53 = 264.99 : x
  2. Step 2: Convert to fraction form
    812.94/1,219.53 = 264.99/x
  3. Step 3: Cross multiply
    812.94x = 1,219.53 × 264.99
  4. Step 4: Simplify right side
    812.94x = 323,163.25
  5. Step 5: Solve for x
    x = 323,163.25/812.94
  6. Step 6: Final answer
    x = 397.53

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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.