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Finding the Fourth Proportional to 828.54, 1,242.83 and 308.67

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Solution

The fourth proportional to 828.54, 1,242.83 and 308.67 is: 463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.54 : 1,242.83 = 308.67 : x
  2. Step 2: Convert to fraction form
    828.54/1,242.83 = 308.67/x
  3. Step 3: Cross multiply
    828.54x = 1,242.83 × 308.67
  4. Step 4: Simplify right side
    828.54x = 383,622.79
  5. Step 5: Solve for x
    x = 383,622.79/828.54
  6. Step 6: Final answer
    x = 463.01

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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.