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Finding the Fourth Proportional to 821.06, 1,232.81 and 335.06

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Solution

The fourth proportional to 821.06, 1,232.81 and 335.06 is: 503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.06 : 1,232.81 = 335.06 : x
  2. Step 2: Convert to fraction form
    821.06/1,232.81 = 335.06/x
  3. Step 3: Cross multiply
    821.06x = 1,232.81 × 335.06
  4. Step 4: Simplify right side
    821.06x = 413,057.48
  5. Step 5: Solve for x
    x = 413,057.48/821.06
  6. Step 6: Final answer
    x = 503.08

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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.