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Finding the Fourth Proportional to 812.34, 1,215.63 and 593.22

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Solution

The fourth proportional to 812.34, 1,215.63 and 593.22 is: 887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.34 : 1,215.63 = 593.22 : x
  2. Step 2: Convert to fraction form
    812.34/1,215.63 = 593.22/x
  3. Step 3: Cross multiply
    812.34x = 1,215.63 × 593.22
  4. Step 4: Simplify right side
    812.34x = 721,136.03
  5. Step 5: Solve for x
    x = 721,136.03/812.34
  6. Step 6: Final answer
    x = 887.73

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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.