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Finding the Fourth Proportional to 890.40, 1,234.14 and 839.14

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Solution

The fourth proportional to 890.40, 1,234.14 and 839.14 is: 1,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.40 : 1,234.14 = 839.14 : x
  2. Step 2: Convert to fraction form
    890.40/1,234.14 = 839.14/x
  3. Step 3: Cross multiply
    890.40x = 1,234.14 × 839.14
  4. Step 4: Simplify right side
    890.40x = 1,035,616.24
  5. Step 5: Solve for x
    x = 1,035,616.24/890.40
  6. Step 6: Final answer
    x = 1,163.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.