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Finding the Fourth Proportional to 828.98, 1,243.46 and 212.67

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Solution

The fourth proportional to 828.98, 1,243.46 and 212.67 is: 319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.98 : 1,243.46 = 212.67 : x
  2. Step 2: Convert to fraction form
    828.98/1,243.46 = 212.67/x
  3. Step 3: Cross multiply
    828.98x = 1,243.46 × 212.67
  4. Step 4: Simplify right side
    828.98x = 264,445.57
  5. Step 5: Solve for x
    x = 264,445.57/828.98
  6. Step 6: Final answer
    x = 319.00

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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.