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Finding the Fourth Proportional to 890.89, 1,336.37 and 274.54

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Solution

The fourth proportional to 890.89, 1,336.37 and 274.54 is: 411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.89 : 1,336.37 = 274.54 : x
  2. Step 2: Convert to fraction form
    890.89/1,336.37 = 274.54/x
  3. Step 3: Cross multiply
    890.89x = 1,336.37 × 274.54
  4. Step 4: Simplify right side
    890.89x = 366,887.02
  5. Step 5: Solve for x
    x = 366,887.02/890.89
  6. Step 6: Final answer
    x = 411.82

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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.