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Finding the Fourth Proportional to 821.09, 1,231.73 and 334.15

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Solution

The fourth proportional to 821.09, 1,231.73 and 334.15 is: 501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.09 : 1,231.73 = 334.15 : x
  2. Step 2: Convert to fraction form
    821.09/1,231.73 = 334.15/x
  3. Step 3: Cross multiply
    821.09x = 1,231.73 × 334.15
  4. Step 4: Simplify right side
    821.09x = 411,582.58
  5. Step 5: Solve for x
    x = 411,582.58/821.09
  6. Step 6: Final answer
    x = 501.26

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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.