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Finding the Fourth Proportional to 1,297.44, 1,791.90 and 1,006.20

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Solution

The fourth proportional to 1,297.44, 1,791.90 and 1,006.20 is: 1,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.44 : 1,791.90 = 1,006.20 : x
  2. Step 2: Convert to fraction form
    1,297.44/1,791.90 = 1,006.20/x
  3. Step 3: Cross multiply
    1,297.44x = 1,791.90 × 1,006.20
  4. Step 4: Simplify right side
    1,297.44x = 1,803,009.78
  5. Step 5: Solve for x
    x = 1,803,009.78/1,297.44
  6. Step 6: Final answer
    x = 1,389.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.