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Finding the Fourth Proportional to 827.83, 1,241.75 and 280.02

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Solution

The fourth proportional to 827.83, 1,241.75 and 280.02 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.83 : 1,241.75 = 280.02 : x
  2. Step 2: Convert to fraction form
    827.83/1,241.75 = 280.02/x
  3. Step 3: Cross multiply
    827.83x = 1,241.75 × 280.02
  4. Step 4: Simplify right side
    827.83x = 347,714.84
  5. Step 5: Solve for x
    x = 347,714.84/827.83
  6. Step 6: Final answer
    x = 420.03

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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.