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Finding the Fourth Proportional to 821.79, 1,232.37 and 334.68

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Solution

The fourth proportional to 821.79, 1,232.37 and 334.68 is: 501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.79 : 1,232.37 = 334.68 : x
  2. Step 2: Convert to fraction form
    821.79/1,232.37 = 334.68/x
  3. Step 3: Cross multiply
    821.79x = 1,232.37 × 334.68
  4. Step 4: Simplify right side
    821.79x = 412,449.59
  5. Step 5: Solve for x
    x = 412,449.59/821.79
  6. Step 6: Final answer
    x = 501.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.