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Finding the Fourth Proportional to 949.26, 1,422.03 and 537.15

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Solution

The fourth proportional to 949.26, 1,422.03 and 537.15 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.26 : 1,422.03 = 537.15 : x
  2. Step 2: Convert to fraction form
    949.26/1,422.03 = 537.15/x
  3. Step 3: Cross multiply
    949.26x = 1,422.03 × 537.15
  4. Step 4: Simplify right side
    949.26x = 763,843.41
  5. Step 5: Solve for x
    x = 763,843.41/949.26
  6. Step 6: Final answer
    x = 804.67

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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.