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Finding the Fourth Proportional to 1,205.98, 1,664.99 and 828.48

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Solution

The fourth proportional to 1,205.98, 1,664.99 and 828.48 is: 1,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.98 : 1,664.99 = 828.48 : x
  2. Step 2: Convert to fraction form
    1,205.98/1,664.99 = 828.48/x
  3. Step 3: Cross multiply
    1,205.98x = 1,664.99 × 828.48
  4. Step 4: Simplify right side
    1,205.98x = 1,379,398.45
  5. Step 5: Solve for x
    x = 1,379,398.45/1,205.98
  6. Step 6: Final answer
    x = 1,143.80

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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.