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Finding the Fourth Proportional to 1,096.67, 1,644.95 and 274.92

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Solution

The fourth proportional to 1,096.67, 1,644.95 and 274.92 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.67 : 1,644.95 = 274.92 : x
  2. Step 2: Convert to fraction form
    1,096.67/1,644.95 = 274.92/x
  3. Step 3: Cross multiply
    1,096.67x = 1,644.95 × 274.92
  4. Step 4: Simplify right side
    1,096.67x = 452,230.34
  5. Step 5: Solve for x
    x = 452,230.34/1,096.67
  6. Step 6: Final answer
    x = 412.37

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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.