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Finding the Fourth Proportional to 822.27, 1,232.40 and 474.93

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Solution

The fourth proportional to 822.27, 1,232.40 and 474.93 is: 711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.27 : 1,232.40 = 474.93 : x
  2. Step 2: Convert to fraction form
    822.27/1,232.40 = 474.93/x
  3. Step 3: Cross multiply
    822.27x = 1,232.40 × 474.93
  4. Step 4: Simplify right side
    822.27x = 585,303.73
  5. Step 5: Solve for x
    x = 585,303.73/822.27
  6. Step 6: Final answer
    x = 711.81

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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.