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Finding the Fourth Proportional to 1,093.33, 1,640.06 and 323.89

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Solution

The fourth proportional to 1,093.33, 1,640.06 and 323.89 is: 485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.33 : 1,640.06 = 323.89 : x
  2. Step 2: Convert to fraction form
    1,093.33/1,640.06 = 323.89/x
  3. Step 3: Cross multiply
    1,093.33x = 1,640.06 × 323.89
  4. Step 4: Simplify right side
    1,093.33x = 531,199.03
  5. Step 5: Solve for x
    x = 531,199.03/1,093.33
  6. Step 6: Final answer
    x = 485.85

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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.