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Finding the Fourth Proportional to 1,025.42, 1,414.46 and 745.31

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Solution

The fourth proportional to 1,025.42, 1,414.46 and 745.31 is: 1,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.42 : 1,414.46 = 745.31 : x
  2. Step 2: Convert to fraction form
    1,025.42/1,414.46 = 745.31/x
  3. Step 3: Cross multiply
    1,025.42x = 1,414.46 × 745.31
  4. Step 4: Simplify right side
    1,025.42x = 1,054,216.58
  5. Step 5: Solve for x
    x = 1,054,216.58/1,025.42
  6. Step 6: Final answer
    x = 1,028.09

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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.