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Finding the Fourth Proportional to 821.83, 1,232.59 and 382.96

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Solution

The fourth proportional to 821.83, 1,232.59 and 382.96 is: 574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.83 : 1,232.59 = 382.96 : x
  2. Step 2: Convert to fraction form
    821.83/1,232.59 = 382.96/x
  3. Step 3: Cross multiply
    821.83x = 1,232.59 × 382.96
  4. Step 4: Simplify right side
    821.83x = 472,032.67
  5. Step 5: Solve for x
    x = 472,032.67/821.83
  6. Step 6: Final answer
    x = 574.37

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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.