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Finding the Fourth Proportional to 1,197.50, 1,796.04 and 331.61

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Solution

The fourth proportional to 1,197.50, 1,796.04 and 331.61 is: 497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.50 : 1,796.04 = 331.61 : x
  2. Step 2: Convert to fraction form
    1,197.50/1,796.04 = 331.61/x
  3. Step 3: Cross multiply
    1,197.50x = 1,796.04 × 331.61
  4. Step 4: Simplify right side
    1,197.50x = 595,575.84
  5. Step 5: Solve for x
    x = 595,575.84/1,197.50
  6. Step 6: Final answer
    x = 497.35

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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.