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Finding the Fourth Proportional to 938.58, 1,409.49 and 650.22

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Solution

The fourth proportional to 938.58, 1,409.49 and 650.22 is: 976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.58 : 1,409.49 = 650.22 : x
  2. Step 2: Convert to fraction form
    938.58/1,409.49 = 650.22/x
  3. Step 3: Cross multiply
    938.58x = 1,409.49 × 650.22
  4. Step 4: Simplify right side
    938.58x = 916,478.59
  5. Step 5: Solve for x
    x = 916,478.59/938.58
  6. Step 6: Final answer
    x = 976.45

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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.