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Finding the Fourth Proportional to 821.96, 1,232.93 and 335.01

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Solution

The fourth proportional to 821.96, 1,232.93 and 335.01 is: 502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.96 : 1,232.93 = 335.01 : x
  2. Step 2: Convert to fraction form
    821.96/1,232.93 = 335.01/x
  3. Step 3: Cross multiply
    821.96x = 1,232.93 × 335.01
  4. Step 4: Simplify right side
    821.96x = 413,043.88
  5. Step 5: Solve for x
    x = 413,043.88/821.96
  6. Step 6: Final answer
    x = 502.51

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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.