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Finding the Fourth Proportional to 1,235.44, 1,851 and 747.58

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Solution

The fourth proportional to 1,235.44, 1,851 and 747.58 is: 1,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.44 : 1,851 = 747.58 : x
  2. Step 2: Convert to fraction form
    1,235.44/1,851 = 747.58/x
  3. Step 3: Cross multiply
    1,235.44x = 1,851 × 747.58
  4. Step 4: Simplify right side
    1,235.44x = 1,383,770.58
  5. Step 5: Solve for x
    x = 1,383,770.58/1,235.44
  6. Step 6: Final answer
    x = 1,120.06

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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.