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Finding the Fourth Proportional to 1,421.44, 2,131.74 and 496.82

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Solution

The fourth proportional to 1,421.44, 2,131.74 and 496.82 is: 745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.44 : 2,131.74 = 496.82 : x
  2. Step 2: Convert to fraction form
    1,421.44/2,131.74 = 496.82/x
  3. Step 3: Cross multiply
    1,421.44x = 2,131.74 × 496.82
  4. Step 4: Simplify right side
    1,421.44x = 1,059,096.40
  5. Step 5: Solve for x
    x = 1,059,096.40/1,421.44
  6. Step 6: Final answer
    x = 745.09

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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.