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Finding the Fourth Proportional to 812.17, 1,218.26 and 523.81

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Solution

The fourth proportional to 812.17, 1,218.26 and 523.81 is: 785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.17 : 1,218.26 = 523.81 : x
  2. Step 2: Convert to fraction form
    812.17/1,218.26 = 523.81/x
  3. Step 3: Cross multiply
    812.17x = 1,218.26 × 523.81
  4. Step 4: Simplify right side
    812.17x = 638,136.77
  5. Step 5: Solve for x
    x = 638,136.77/812.17
  6. Step 6: Final answer
    x = 785.72

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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.