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Finding the Fourth Proportional to 939.59, 1,405.26 and 767.36

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Solution

The fourth proportional to 939.59, 1,405.26 and 767.36 is: 1,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.59 : 1,405.26 = 767.36 : x
  2. Step 2: Convert to fraction form
    939.59/1,405.26 = 767.36/x
  3. Step 3: Cross multiply
    939.59x = 1,405.26 × 767.36
  4. Step 4: Simplify right side
    939.59x = 1,078,333.29
  5. Step 5: Solve for x
    x = 1,078,333.29/939.59
  6. Step 6: Final answer
    x = 1,147.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.