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Finding the Fourth Proportional to 822.19, 1,233.89 and 389.34

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Solution

The fourth proportional to 822.19, 1,233.89 and 389.34 is: 584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.19 : 1,233.89 = 389.34 : x
  2. Step 2: Convert to fraction form
    822.19/1,233.89 = 389.34/x
  3. Step 3: Cross multiply
    822.19x = 1,233.89 × 389.34
  4. Step 4: Simplify right side
    822.19x = 480,406.87
  5. Step 5: Solve for x
    x = 480,406.87/822.19
  6. Step 6: Final answer
    x = 584.30

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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.