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Finding the Fourth Proportional to 828.84, 1,243.08 and 315.84

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Solution

The fourth proportional to 828.84, 1,243.08 and 315.84 is: 473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,243.08 = 315.84 : x
  2. Step 2: Convert to fraction form
    828.84/1,243.08 = 315.84/x
  3. Step 3: Cross multiply
    828.84x = 1,243.08 × 315.84
  4. Step 4: Simplify right side
    828.84x = 392,614.39
  5. Step 5: Solve for x
    x = 392,614.39/828.84
  6. Step 6: Final answer
    x = 473.69

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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.