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Finding the Fourth Proportional to 1,367.76, 2,051.26 and 443.11

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Solution

The fourth proportional to 1,367.76, 2,051.26 and 443.11 is: 664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.76 : 2,051.26 = 443.11 : x
  2. Step 2: Convert to fraction form
    1,367.76/2,051.26 = 443.11/x
  3. Step 3: Cross multiply
    1,367.76x = 2,051.26 × 443.11
  4. Step 4: Simplify right side
    1,367.76x = 908,933.82
  5. Step 5: Solve for x
    x = 908,933.82/1,367.76
  6. Step 6: Final answer
    x = 664.54

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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.