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Finding the Fourth Proportional to 827.63, 1,237.85 and 480.12

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Solution

The fourth proportional to 827.63, 1,237.85 and 480.12 is: 718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,237.85 = 480.12 : x
  2. Step 2: Convert to fraction form
    827.63/1,237.85 = 480.12/x
  3. Step 3: Cross multiply
    827.63x = 1,237.85 × 480.12
  4. Step 4: Simplify right side
    827.63x = 594,316.54
  5. Step 5: Solve for x
    x = 594,316.54/827.63
  6. Step 6: Final answer
    x = 718.09

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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.