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Finding the Fourth Proportional to 821.83, 1,232.73 and 236.84

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Solution

The fourth proportional to 821.83, 1,232.73 and 236.84 is: 355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.83 : 1,232.73 = 236.84 : x
  2. Step 2: Convert to fraction form
    821.83/1,232.73 = 236.84/x
  3. Step 3: Cross multiply
    821.83x = 1,232.73 × 236.84
  4. Step 4: Simplify right side
    821.83x = 291,953.61
  5. Step 5: Solve for x
    x = 291,953.61/821.83
  6. Step 6: Final answer
    x = 355.25

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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.