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Finding the Fourth Proportional to 827.07, 1,240.15 and 364.30

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Solution

The fourth proportional to 827.07, 1,240.15 and 364.30 is: 546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.07 : 1,240.15 = 364.30 : x
  2. Step 2: Convert to fraction form
    827.07/1,240.15 = 364.30/x
  3. Step 3: Cross multiply
    827.07x = 1,240.15 × 364.30
  4. Step 4: Simplify right side
    827.07x = 451,786.65
  5. Step 5: Solve for x
    x = 451,786.65/827.07
  6. Step 6: Final answer
    x = 546.25

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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.