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Finding the Fourth Proportional to 827.34, 1,240.83 and 314.34

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Solution

The fourth proportional to 827.34, 1,240.83 and 314.34 is: 471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.34 : 1,240.83 = 314.34 : x
  2. Step 2: Convert to fraction form
    827.34/1,240.83 = 314.34/x
  3. Step 3: Cross multiply
    827.34x = 1,240.83 × 314.34
  4. Step 4: Simplify right side
    827.34x = 390,042.50
  5. Step 5: Solve for x
    x = 390,042.50/827.34
  6. Step 6: Final answer
    x = 471.44

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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.