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Finding the Fourth Proportional to 1,105.25, 1,525.25 and 1,012.31

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Solution

The fourth proportional to 1,105.25, 1,525.25 and 1,012.31 is: 1,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.25 : 1,525.25 = 1,012.31 : x
  2. Step 2: Convert to fraction form
    1,105.25/1,525.25 = 1,012.31/x
  3. Step 3: Cross multiply
    1,105.25x = 1,525.25 × 1,012.31
  4. Step 4: Simplify right side
    1,105.25x = 1,544,025.83
  5. Step 5: Solve for x
    x = 1,544,025.83/1,105.25
  6. Step 6: Final answer
    x = 1,396.99

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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.