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Finding the Fourth Proportional to 1,293.46, 1,939.94 and 427.56

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Solution

The fourth proportional to 1,293.46, 1,939.94 and 427.56 is: 641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.46 : 1,939.94 = 427.56 : x
  2. Step 2: Convert to fraction form
    1,293.46/1,939.94 = 427.56/x
  3. Step 3: Cross multiply
    1,293.46x = 1,939.94 × 427.56
  4. Step 4: Simplify right side
    1,293.46x = 829,440.75
  5. Step 5: Solve for x
    x = 829,440.75/1,293.46
  6. Step 6: Final answer
    x = 641.26

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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.