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Finding the Fourth Proportional to 828.81, 1,243.53 and 341.82

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Solution

The fourth proportional to 828.81, 1,243.53 and 341.82 is: 512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.81 : 1,243.53 = 341.82 : x
  2. Step 2: Convert to fraction form
    828.81/1,243.53 = 341.82/x
  3. Step 3: Cross multiply
    828.81x = 1,243.53 × 341.82
  4. Step 4: Simplify right side
    828.81x = 425,063.42
  5. Step 5: Solve for x
    x = 425,063.42/828.81
  6. Step 6: Final answer
    x = 512.86

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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.