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Finding the Fourth Proportional to 1,396.03, 2,093.26 and 458.53

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Solution

The fourth proportional to 1,396.03, 2,093.26 and 458.53 is: 687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.03 : 2,093.26 = 458.53 : x
  2. Step 2: Convert to fraction form
    1,396.03/2,093.26 = 458.53/x
  3. Step 3: Cross multiply
    1,396.03x = 2,093.26 × 458.53
  4. Step 4: Simplify right side
    1,396.03x = 959,822.51
  5. Step 5: Solve for x
    x = 959,822.51/1,396.03
  6. Step 6: Final answer
    x = 687.54

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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.