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Finding the Fourth Proportional to 999.70, 1,498.17 and 827.44

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Solution

The fourth proportional to 999.70, 1,498.17 and 827.44 is: 1,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.70 : 1,498.17 = 827.44 : x
  2. Step 2: Convert to fraction form
    999.70/1,498.17 = 827.44/x
  3. Step 3: Cross multiply
    999.70x = 1,498.17 × 827.44
  4. Step 4: Simplify right side
    999.70x = 1,239,645.78
  5. Step 5: Solve for x
    x = 1,239,645.78/999.70
  6. Step 6: Final answer
    x = 1,240.02

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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.