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Finding the Fourth Proportional to 827.63, 1,241.45 and 314.63

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Solution

The fourth proportional to 827.63, 1,241.45 and 314.63 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,241.45 = 314.63 : x
  2. Step 2: Convert to fraction form
    827.63/1,241.45 = 314.63/x
  3. Step 3: Cross multiply
    827.63x = 1,241.45 × 314.63
  4. Step 4: Simplify right side
    827.63x = 390,589.63
  5. Step 5: Solve for x
    x = 390,589.63/827.63
  6. Step 6: Final answer
    x = 471.94

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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.