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Finding the Fourth Proportional to 1,353.41, 2,029.94 and 379.59

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Solution

The fourth proportional to 1,353.41, 2,029.94 and 379.59 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.41 : 2,029.94 = 379.59 : x
  2. Step 2: Convert to fraction form
    1,353.41/2,029.94 = 379.59/x
  3. Step 3: Cross multiply
    1,353.41x = 2,029.94 × 379.59
  4. Step 4: Simplify right side
    1,353.41x = 770,544.92
  5. Step 5: Solve for x
    x = 770,544.92/1,353.41
  6. Step 6: Final answer
    x = 569.34

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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.