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Finding the Fourth Proportional to 827.37, 1,142.15 and 477.99

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Solution

The fourth proportional to 827.37, 1,142.15 and 477.99 is: 659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.37 : 1,142.15 = 477.99 : x
  2. Step 2: Convert to fraction form
    827.37/1,142.15 = 477.99/x
  3. Step 3: Cross multiply
    827.37x = 1,142.15 × 477.99
  4. Step 4: Simplify right side
    827.37x = 545,936.28
  5. Step 5: Solve for x
    x = 545,936.28/827.37
  6. Step 6: Final answer
    x = 659.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.