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Finding the Fourth Proportional to 821.85, 1,232.54 and 236.80

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Solution

The fourth proportional to 821.85, 1,232.54 and 236.80 is: 355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.85 : 1,232.54 = 236.80 : x
  2. Step 2: Convert to fraction form
    821.85/1,232.54 = 236.80/x
  3. Step 3: Cross multiply
    821.85x = 1,232.54 × 236.80
  4. Step 4: Simplify right side
    821.85x = 291,863.92
  5. Step 5: Solve for x
    x = 291,863.92/821.85
  6. Step 6: Final answer
    x = 355.13

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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.