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Finding the Fourth Proportional to 828.95, 1,243.01 and 308.79

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Solution

The fourth proportional to 828.95, 1,243.01 and 308.79 is: 463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.95 : 1,243.01 = 308.79 : x
  2. Step 2: Convert to fraction form
    828.95/1,243.01 = 308.79/x
  3. Step 3: Cross multiply
    828.95x = 1,243.01 × 308.79
  4. Step 4: Simplify right side
    828.95x = 383,829.83
  5. Step 5: Solve for x
    x = 383,829.83/828.95
  6. Step 6: Final answer
    x = 463.03

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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.