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Finding the Fourth Proportional to 821.05, 1,232.04 and 300.98

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Solution

The fourth proportional to 821.05, 1,232.04 and 300.98 is: 451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.05 : 1,232.04 = 300.98 : x
  2. Step 2: Convert to fraction form
    821.05/1,232.04 = 300.98/x
  3. Step 3: Cross multiply
    821.05x = 1,232.04 × 300.98
  4. Step 4: Simplify right side
    821.05x = 370,813.27
  5. Step 5: Solve for x
    x = 370,813.27/821.05
  6. Step 6: Final answer
    x = 451.64

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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.