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Finding the Fourth Proportional to 827.95, 1,242.09 and 280.52

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Solution

The fourth proportional to 827.95, 1,242.09 and 280.52 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.95 : 1,242.09 = 280.52 : x
  2. Step 2: Convert to fraction form
    827.95/1,242.09 = 280.52/x
  3. Step 3: Cross multiply
    827.95x = 1,242.09 × 280.52
  4. Step 4: Simplify right side
    827.95x = 348,431.09
  5. Step 5: Solve for x
    x = 348,431.09/827.95
  6. Step 6: Final answer
    x = 420.84

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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.