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Finding the Fourth Proportional to 874.89, 1,314.24 and 845.73

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Solution

The fourth proportional to 874.89, 1,314.24 and 845.73 is: 1,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.89 : 1,314.24 = 845.73 : x
  2. Step 2: Convert to fraction form
    874.89/1,314.24 = 845.73/x
  3. Step 3: Cross multiply
    874.89x = 1,314.24 × 845.73
  4. Step 4: Simplify right side
    874.89x = 1,111,492.20
  5. Step 5: Solve for x
    x = 1,111,492.20/874.89
  6. Step 6: Final answer
    x = 1,270.44

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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.