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Finding the Fourth Proportional to 1,238.21, 1,856.85 and 405.08

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Solution

The fourth proportional to 1,238.21, 1,856.85 and 405.08 is: 607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.21 : 1,856.85 = 405.08 : x
  2. Step 2: Convert to fraction form
    1,238.21/1,856.85 = 405.08/x
  3. Step 3: Cross multiply
    1,238.21x = 1,856.85 × 405.08
  4. Step 4: Simplify right side
    1,238.21x = 752,168.96
  5. Step 5: Solve for x
    x = 752,168.96/1,238.21
  6. Step 6: Final answer
    x = 607.47

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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.