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Finding the Fourth Proportional to 1,633.57, 2,450.71 and 537.88

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Solution

The fourth proportional to 1,633.57, 2,450.71 and 537.88 is: 806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.57 : 2,450.71 = 537.88 : x
  2. Step 2: Convert to fraction form
    1,633.57/2,450.71 = 537.88/x
  3. Step 3: Cross multiply
    1,633.57x = 2,450.71 × 537.88
  4. Step 4: Simplify right side
    1,633.57x = 1,318,187.89
  5. Step 5: Solve for x
    x = 1,318,187.89/1,633.57
  6. Step 6: Final answer
    x = 806.94

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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.