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Finding the Fourth Proportional to 1,245.18, 1,867.28 and 412.03

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Solution

The fourth proportional to 1,245.18, 1,867.28 and 412.03 is: 617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.18 : 1,867.28 = 412.03 : x
  2. Step 2: Convert to fraction form
    1,245.18/1,867.28 = 412.03/x
  3. Step 3: Cross multiply
    1,245.18x = 1,867.28 × 412.03
  4. Step 4: Simplify right side
    1,245.18x = 769,370.24
  5. Step 5: Solve for x
    x = 769,370.24/1,245.18
  6. Step 6: Final answer
    x = 617.88

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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.