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Finding the Fourth Proportional to 1,353.23, 2,028.97 and 531.58

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Solution

The fourth proportional to 1,353.23, 2,028.97 and 531.58 is: 797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.23 : 2,028.97 = 531.58 : x
  2. Step 2: Convert to fraction form
    1,353.23/2,028.97 = 531.58/x
  3. Step 3: Cross multiply
    1,353.23x = 2,028.97 × 531.58
  4. Step 4: Simplify right side
    1,353.23x = 1,078,559.87
  5. Step 5: Solve for x
    x = 1,078,559.87/1,353.23
  6. Step 6: Final answer
    x = 797.03

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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.