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Finding the Fourth Proportional to 1,267.73, 1,901.43 and 343.25

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Solution

The fourth proportional to 1,267.73, 1,901.43 and 343.25 is: 514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.73 : 1,901.43 = 343.25 : x
  2. Step 2: Convert to fraction form
    1,267.73/1,901.43 = 343.25/x
  3. Step 3: Cross multiply
    1,267.73x = 1,901.43 × 343.25
  4. Step 4: Simplify right side
    1,267.73x = 652,665.85
  5. Step 5: Solve for x
    x = 652,665.85/1,267.73
  6. Step 6: Final answer
    x = 514.83

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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.