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Finding the Fourth Proportional to 1,197.56, 1,796.98 and 711.16

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Solution

The fourth proportional to 1,197.56, 1,796.98 and 711.16 is: 1,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.56 : 1,796.98 = 711.16 : x
  2. Step 2: Convert to fraction form
    1,197.56/1,796.98 = 711.16/x
  3. Step 3: Cross multiply
    1,197.56x = 1,796.98 × 711.16
  4. Step 4: Simplify right side
    1,197.56x = 1,277,940.30
  5. Step 5: Solve for x
    x = 1,277,940.30/1,197.56
  6. Step 6: Final answer
    x = 1,067.12

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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.