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Finding the Fourth Proportional to 1,119.45, 1,679.25 and 297.70

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Solution

The fourth proportional to 1,119.45, 1,679.25 and 297.70 is: 446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.45 : 1,679.25 = 297.70 : x
  2. Step 2: Convert to fraction form
    1,119.45/1,679.25 = 297.70/x
  3. Step 3: Cross multiply
    1,119.45x = 1,679.25 × 297.70
  4. Step 4: Simplify right side
    1,119.45x = 499,912.73
  5. Step 5: Solve for x
    x = 499,912.73/1,119.45
  6. Step 6: Final answer
    x = 446.57

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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.