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Finding the Fourth Proportional to 1,197.41, 1,795.43 and 611.73

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Solution

The fourth proportional to 1,197.41, 1,795.43 and 611.73 is: 917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.41 : 1,795.43 = 611.73 : x
  2. Step 2: Convert to fraction form
    1,197.41/1,795.43 = 611.73/x
  3. Step 3: Cross multiply
    1,197.41x = 1,795.43 × 611.73
  4. Step 4: Simplify right side
    1,197.41x = 1,098,318.39
  5. Step 5: Solve for x
    x = 1,098,318.39/1,197.41
  6. Step 6: Final answer
    x = 917.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.