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Finding the Fourth Proportional to 812.76, 1,119.09 and 613.89

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Solution

The fourth proportional to 812.76, 1,119.09 and 613.89 is: 845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.76 : 1,119.09 = 613.89 : x
  2. Step 2: Convert to fraction form
    812.76/1,119.09 = 613.89/x
  3. Step 3: Cross multiply
    812.76x = 1,119.09 × 613.89
  4. Step 4: Simplify right side
    812.76x = 686,998.16
  5. Step 5: Solve for x
    x = 686,998.16/812.76
  6. Step 6: Final answer
    x = 845.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.