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Finding the Fourth Proportional to 1,367.12, 2,050.70 and 442.67

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Solution

The fourth proportional to 1,367.12, 2,050.70 and 442.67 is: 664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.12 : 2,050.70 = 442.67 : x
  2. Step 2: Convert to fraction form
    1,367.12/2,050.70 = 442.67/x
  3. Step 3: Cross multiply
    1,367.12x = 2,050.70 × 442.67
  4. Step 4: Simplify right side
    1,367.12x = 907,789.60
  5. Step 5: Solve for x
    x = 907,789.60/1,367.12
  6. Step 6: Final answer
    x = 664.02

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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.