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Finding the Fourth Proportional to 1,381.36, 2,072.18 and 457.09

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Solution

The fourth proportional to 1,381.36, 2,072.18 and 457.09 is: 685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.36 : 2,072.18 = 457.09 : x
  2. Step 2: Convert to fraction form
    1,381.36/2,072.18 = 457.09/x
  3. Step 3: Cross multiply
    1,381.36x = 2,072.18 × 457.09
  4. Step 4: Simplify right side
    1,381.36x = 947,163.54
  5. Step 5: Solve for x
    x = 947,163.54/1,381.36
  6. Step 6: Final answer
    x = 685.67

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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.