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Finding the Fourth Proportional to 1,353.07, 2,027.83 and 694.39

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Solution

The fourth proportional to 1,353.07, 2,027.83 and 694.39 is: 1,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.07 : 2,027.83 = 694.39 : x
  2. Step 2: Convert to fraction form
    1,353.07/2,027.83 = 694.39/x
  3. Step 3: Cross multiply
    1,353.07x = 2,027.83 × 694.39
  4. Step 4: Simplify right side
    1,353.07x = 1,408,104.87
  5. Step 5: Solve for x
    x = 1,408,104.87/1,353.07
  6. Step 6: Final answer
    x = 1,040.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.