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Finding the Fourth Proportional to 827.68, 1,241.36 and 314.32

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Solution

The fourth proportional to 827.68, 1,241.36 and 314.32 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.68 : 1,241.36 = 314.32 : x
  2. Step 2: Convert to fraction form
    827.68/1,241.36 = 314.32/x
  3. Step 3: Cross multiply
    827.68x = 1,241.36 × 314.32
  4. Step 4: Simplify right side
    827.68x = 390,184.28
  5. Step 5: Solve for x
    x = 390,184.28/827.68
  6. Step 6: Final answer
    x = 471.42

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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.