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Finding the Fourth Proportional to 1,190.56, 1,785.20 and 368.61

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Solution

The fourth proportional to 1,190.56, 1,785.20 and 368.61 is: 552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.56 : 1,785.20 = 368.61 : x
  2. Step 2: Convert to fraction form
    1,190.56/1,785.20 = 368.61/x
  3. Step 3: Cross multiply
    1,190.56x = 1,785.20 × 368.61
  4. Step 4: Simplify right side
    1,190.56x = 658,040.73
  5. Step 5: Solve for x
    x = 658,040.73/1,190.56
  6. Step 6: Final answer
    x = 552.72

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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.