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Finding the Fourth Proportional to 1,353.25, 2,029.65 and 379.35

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Solution

The fourth proportional to 1,353.25, 2,029.65 and 379.35 is: 568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.25 : 2,029.65 = 379.35 : x
  2. Step 2: Convert to fraction form
    1,353.25/2,029.65 = 379.35/x
  3. Step 3: Cross multiply
    1,353.25x = 2,029.65 × 379.35
  4. Step 4: Simplify right side
    1,353.25x = 769,947.73
  5. Step 5: Solve for x
    x = 769,947.73/1,353.25
  6. Step 6: Final answer
    x = 568.96

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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.