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Finding the Fourth Proportional to 824.12, 1,233.30 and 628.28

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Solution

The fourth proportional to 824.12, 1,233.30 and 628.28 is: 940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.12 : 1,233.30 = 628.28 : x
  2. Step 2: Convert to fraction form
    824.12/1,233.30 = 628.28/x
  3. Step 3: Cross multiply
    824.12x = 1,233.30 × 628.28
  4. Step 4: Simplify right side
    824.12x = 774,857.72
  5. Step 5: Solve for x
    x = 774,857.72/824.12
  6. Step 6: Final answer
    x = 940.22

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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.