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Finding the Fourth Proportional to 821.93, 1,233.06 and 236.93

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Solution

The fourth proportional to 821.93, 1,233.06 and 236.93 is: 355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.93 : 1,233.06 = 236.93 : x
  2. Step 2: Convert to fraction form
    821.93/1,233.06 = 236.93/x
  3. Step 3: Cross multiply
    821.93x = 1,233.06 × 236.93
  4. Step 4: Simplify right side
    821.93x = 292,142.74
  5. Step 5: Solve for x
    x = 292,142.74/821.93
  6. Step 6: Final answer
    x = 355.44

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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.