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Finding the Fourth Proportional to 812.59, 1,219.47 and 551.97

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Solution

The fourth proportional to 812.59, 1,219.47 and 551.97 is: 828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.59 : 1,219.47 = 551.97 : x
  2. Step 2: Convert to fraction form
    812.59/1,219.47 = 551.97/x
  3. Step 3: Cross multiply
    812.59x = 1,219.47 × 551.97
  4. Step 4: Simplify right side
    812.59x = 673,110.86
  5. Step 5: Solve for x
    x = 673,110.86/812.59
  6. Step 6: Final answer
    x = 828.35

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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.