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Finding the Fourth Proportional to 1,014.53, 1,522.27 and 998.15

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Solution

The fourth proportional to 1,014.53, 1,522.27 and 998.15 is: 1,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.53 : 1,522.27 = 998.15 : x
  2. Step 2: Convert to fraction form
    1,014.53/1,522.27 = 998.15/x
  3. Step 3: Cross multiply
    1,014.53x = 1,522.27 × 998.15
  4. Step 4: Simplify right side
    1,014.53x = 1,519,453.80
  5. Step 5: Solve for x
    x = 1,519,453.80/1,014.53
  6. Step 6: Final answer
    x = 1,497.69

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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.