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Finding the Fourth Proportional to 812.80, 1,217.14 and 583.17

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Solution

The fourth proportional to 812.80, 1,217.14 and 583.17 is: 873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.80 : 1,217.14 = 583.17 : x
  2. Step 2: Convert to fraction form
    812.80/1,217.14 = 583.17/x
  3. Step 3: Cross multiply
    812.80x = 1,217.14 × 583.17
  4. Step 4: Simplify right side
    812.80x = 709,796.79
  5. Step 5: Solve for x
    x = 709,796.79/812.80
  6. Step 6: Final answer
    x = 873.27

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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.