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Finding the Fourth Proportional to 1,197.93, 1,795.16 and 827.36

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Solution

The fourth proportional to 1,197.93, 1,795.16 and 827.36 is: 1,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.93 : 1,795.16 = 827.36 : x
  2. Step 2: Convert to fraction form
    1,197.93/1,795.16 = 827.36/x
  3. Step 3: Cross multiply
    1,197.93x = 1,795.16 × 827.36
  4. Step 4: Simplify right side
    1,197.93x = 1,485,243.58
  5. Step 5: Solve for x
    x = 1,485,243.58/1,197.93
  6. Step 6: Final answer
    x = 1,239.84

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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.