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Finding the Fourth Proportional to 1,120.61, 1,679.83 and 427.09

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Solution

The fourth proportional to 1,120.61, 1,679.83 and 427.09 is: 640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.61 : 1,679.83 = 427.09 : x
  2. Step 2: Convert to fraction form
    1,120.61/1,679.83 = 427.09/x
  3. Step 3: Cross multiply
    1,120.61x = 1,679.83 × 427.09
  4. Step 4: Simplify right side
    1,120.61x = 717,430.20
  5. Step 5: Solve for x
    x = 717,430.20/1,120.61
  6. Step 6: Final answer
    x = 640.21

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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.