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Finding the Fourth Proportional to 975.26, 1,336.08 and 938.28

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Solution

The fourth proportional to 975.26, 1,336.08 and 938.28 is: 1,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.26 : 1,336.08 = 938.28 : x
  2. Step 2: Convert to fraction form
    975.26/1,336.08 = 938.28/x
  3. Step 3: Cross multiply
    975.26x = 1,336.08 × 938.28
  4. Step 4: Simplify right side
    975.26x = 1,253,617.14
  5. Step 5: Solve for x
    x = 1,253,617.14/975.26
  6. Step 6: Final answer
    x = 1,285.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.