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Finding the Fourth Proportional to 1,222.73, 1,834.43 and 492.82

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Solution

The fourth proportional to 1,222.73, 1,834.43 and 492.82 is: 739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.73 : 1,834.43 = 492.82 : x
  2. Step 2: Convert to fraction form
    1,222.73/1,834.43 = 492.82/x
  3. Step 3: Cross multiply
    1,222.73x = 1,834.43 × 492.82
  4. Step 4: Simplify right side
    1,222.73x = 904,043.79
  5. Step 5: Solve for x
    x = 904,043.79/1,222.73
  6. Step 6: Final answer
    x = 739.37

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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.