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Finding the Fourth Proportional to 835.44, 1,253.36 and 511.03

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Solution

The fourth proportional to 835.44, 1,253.36 and 511.03 is: 766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.44 : 1,253.36 = 511.03 : x
  2. Step 2: Convert to fraction form
    835.44/1,253.36 = 511.03/x
  3. Step 3: Cross multiply
    835.44x = 1,253.36 × 511.03
  4. Step 4: Simplify right side
    835.44x = 640,504.56
  5. Step 5: Solve for x
    x = 640,504.56/835.44
  6. Step 6: Final answer
    x = 766.67

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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.