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Finding the Fourth Proportional to 822.11, 1,233.56 and 475.74

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Solution

The fourth proportional to 822.11, 1,233.56 and 475.74 is: 713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.11 : 1,233.56 = 475.74 : x
  2. Step 2: Convert to fraction form
    822.11/1,233.56 = 475.74/x
  3. Step 3: Cross multiply
    822.11x = 1,233.56 × 475.74
  4. Step 4: Simplify right side
    822.11x = 586,855.02
  5. Step 5: Solve for x
    x = 586,855.02/822.11
  6. Step 6: Final answer
    x = 713.84

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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.