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Finding the Fourth Proportional to 1,438.25, 2,156.44 and 697.67

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Solution

The fourth proportional to 1,438.25, 2,156.44 and 697.67 is: 1,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.25 : 2,156.44 = 697.67 : x
  2. Step 2: Convert to fraction form
    1,438.25/2,156.44 = 697.67/x
  3. Step 3: Cross multiply
    1,438.25x = 2,156.44 × 697.67
  4. Step 4: Simplify right side
    1,438.25x = 1,504,487.14
  5. Step 5: Solve for x
    x = 1,504,487.14/1,438.25
  6. Step 6: Final answer
    x = 1,046.05

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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.