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Finding the Fourth Proportional to 1,771.44, 2,658.24 and 797.64

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Solution

The fourth proportional to 1,771.44, 2,658.24 and 797.64 is: 1,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.44 : 2,658.24 = 797.64 : x
  2. Step 2: Convert to fraction form
    1,771.44/2,658.24 = 797.64/x
  3. Step 3: Cross multiply
    1,771.44x = 2,658.24 × 797.64
  4. Step 4: Simplify right side
    1,771.44x = 2,120,318.55
  5. Step 5: Solve for x
    x = 2,120,318.55/1,771.44
  6. Step 6: Final answer
    x = 1,196.95

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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.