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Finding the Fourth Proportional to 1,196.56, 1,794.91 and 427.06

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Solution

The fourth proportional to 1,196.56, 1,794.91 and 427.06 is: 640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.56 : 1,794.91 = 427.06 : x
  2. Step 2: Convert to fraction form
    1,196.56/1,794.91 = 427.06/x
  3. Step 3: Cross multiply
    1,196.56x = 1,794.91 × 427.06
  4. Step 4: Simplify right side
    1,196.56x = 766,534.26
  5. Step 5: Solve for x
    x = 766,534.26/1,196.56
  6. Step 6: Final answer
    x = 640.61

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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.