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Finding the Fourth Proportional to 821.94, 1,232.92 and 475.80

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Solution

The fourth proportional to 821.94, 1,232.92 and 475.80 is: 713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.94 : 1,232.92 = 475.80 : x
  2. Step 2: Convert to fraction form
    821.94/1,232.92 = 475.80/x
  3. Step 3: Cross multiply
    821.94x = 1,232.92 × 475.80
  4. Step 4: Simplify right side
    821.94x = 586,623.34
  5. Step 5: Solve for x
    x = 586,623.34/821.94
  6. Step 6: Final answer
    x = 713.71

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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.