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Finding the Fourth Proportional to 822.13, 1,232.21 and 474.75

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Solution

The fourth proportional to 822.13, 1,232.21 and 474.75 is: 711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.13 : 1,232.21 = 474.75 : x
  2. Step 2: Convert to fraction form
    822.13/1,232.21 = 474.75/x
  3. Step 3: Cross multiply
    822.13x = 1,232.21 × 474.75
  4. Step 4: Simplify right side
    822.13x = 584,991.70
  5. Step 5: Solve for x
    x = 584,991.70/822.13
  6. Step 6: Final answer
    x = 711.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.