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Finding the Fourth Proportional to 812.56, 1,218.84 and 742.09

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Solution

The fourth proportional to 812.56, 1,218.84 and 742.09 is: 1,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.56 : 1,218.84 = 742.09 : x
  2. Step 2: Convert to fraction form
    812.56/1,218.84 = 742.09/x
  3. Step 3: Cross multiply
    812.56x = 1,218.84 × 742.09
  4. Step 4: Simplify right side
    812.56x = 904,488.98
  5. Step 5: Solve for x
    x = 904,488.98/812.56
  6. Step 6: Final answer
    x = 1,113.14

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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.