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Finding the Fourth Proportional to 1,238.12, 1,704.72 and 1,051.24

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Solution

The fourth proportional to 1,238.12, 1,704.72 and 1,051.24 is: 1,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.12 : 1,704.72 = 1,051.24 : x
  2. Step 2: Convert to fraction form
    1,238.12/1,704.72 = 1,051.24/x
  3. Step 3: Cross multiply
    1,238.12x = 1,704.72 × 1,051.24
  4. Step 4: Simplify right side
    1,238.12x = 1,792,069.85
  5. Step 5: Solve for x
    x = 1,792,069.85/1,238.12
  6. Step 6: Final answer
    x = 1,447.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.