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Finding the Fourth Proportional to 1,338.30, 1,846.90 and 749.02

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Solution

The fourth proportional to 1,338.30, 1,846.90 and 749.02 is: 1,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.30 : 1,846.90 = 749.02 : x
  2. Step 2: Convert to fraction form
    1,338.30/1,846.90 = 749.02/x
  3. Step 3: Cross multiply
    1,338.30x = 1,846.90 × 749.02
  4. Step 4: Simplify right side
    1,338.30x = 1,383,365.04
  5. Step 5: Solve for x
    x = 1,383,365.04/1,338.30
  6. Step 6: Final answer
    x = 1,033.67

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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.