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Finding the Fourth Proportional to 827.02, 1,240.24 and 306.75

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Solution

The fourth proportional to 827.02, 1,240.24 and 306.75 is: 460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.02 : 1,240.24 = 306.75 : x
  2. Step 2: Convert to fraction form
    827.02/1,240.24 = 306.75/x
  3. Step 3: Cross multiply
    827.02x = 1,240.24 × 306.75
  4. Step 4: Simplify right side
    827.02x = 380,443.62
  5. Step 5: Solve for x
    x = 380,443.62/827.02
  6. Step 6: Final answer
    x = 460.02

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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.