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Finding the Fourth Proportional to 1,027.42, 1,418.25 and 678.94

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Solution

The fourth proportional to 1,027.42, 1,418.25 and 678.94 is: 937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.42 : 1,418.25 = 678.94 : x
  2. Step 2: Convert to fraction form
    1,027.42/1,418.25 = 678.94/x
  3. Step 3: Cross multiply
    1,027.42x = 1,418.25 × 678.94
  4. Step 4: Simplify right side
    1,027.42x = 962,906.66
  5. Step 5: Solve for x
    x = 962,906.66/1,027.42
  6. Step 6: Final answer
    x = 937.21

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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.