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Finding the Fourth Proportional to 1,197.59, 1,794.56 and 827.01

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Solution

The fourth proportional to 1,197.59, 1,794.56 and 827.01 is: 1,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.59 : 1,794.56 = 827.01 : x
  2. Step 2: Convert to fraction form
    1,197.59/1,794.56 = 827.01/x
  3. Step 3: Cross multiply
    1,197.59x = 1,794.56 × 827.01
  4. Step 4: Simplify right side
    1,197.59x = 1,484,114.93
  5. Step 5: Solve for x
    x = 1,484,114.93/1,197.59
  6. Step 6: Final answer
    x = 1,239.26

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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.