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Finding the Fourth Proportional to 828.87, 1,243.23 and 341.93

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Solution

The fourth proportional to 828.87, 1,243.23 and 341.93 is: 512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.87 : 1,243.23 = 341.93 : x
  2. Step 2: Convert to fraction form
    828.87/1,243.23 = 341.93/x
  3. Step 3: Cross multiply
    828.87x = 1,243.23 × 341.93
  4. Step 4: Simplify right side
    828.87x = 425,091.42
  5. Step 5: Solve for x
    x = 425,091.42/828.87
  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.