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Finding the Fourth Proportional to 1,014.44, 1,398.24 and 804.24

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Solution

The fourth proportional to 1,014.44, 1,398.24 and 804.24 is: 1,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.44 : 1,398.24 = 804.24 : x
  2. Step 2: Convert to fraction form
    1,014.44/1,398.24 = 804.24/x
  3. Step 3: Cross multiply
    1,014.44x = 1,398.24 × 804.24
  4. Step 4: Simplify right side
    1,014.44x = 1,124,520.54
  5. Step 5: Solve for x
    x = 1,124,520.54/1,014.44
  6. Step 6: Final answer
    x = 1,108.52

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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.