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Finding the Fourth Proportional to 1,197.53, 1,796.09 and 331.64

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Solution

The fourth proportional to 1,197.53, 1,796.09 and 331.64 is: 497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.53 : 1,796.09 = 331.64 : x
  2. Step 2: Convert to fraction form
    1,197.53/1,796.09 = 331.64/x
  3. Step 3: Cross multiply
    1,197.53x = 1,796.09 × 331.64
  4. Step 4: Simplify right side
    1,197.53x = 595,644.65
  5. Step 5: Solve for x
    x = 595,644.65/1,197.53
  6. Step 6: Final answer
    x = 497.40

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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.