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Finding the Fourth Proportional to 822.28, 1,232.40 and 474.92

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Solution

The fourth proportional to 822.28, 1,232.40 and 474.92 is: 711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.28 : 1,232.40 = 474.92 : x
  2. Step 2: Convert to fraction form
    822.28/1,232.40 = 474.92/x
  3. Step 3: Cross multiply
    822.28x = 1,232.40 × 474.92
  4. Step 4: Simplify right side
    822.28x = 585,291.41
  5. Step 5: Solve for x
    x = 585,291.41/822.28
  6. Step 6: Final answer
    x = 711.79

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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.