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Finding the Fourth Proportional to 733.94, 1,100.37 and 368.54

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Solution

The fourth proportional to 733.94, 1,100.37 and 368.54 is: 552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.94 : 1,100.37 = 368.54 : x
  2. Step 2: Convert to fraction form
    733.94/1,100.37 = 368.54/x
  3. Step 3: Cross multiply
    733.94x = 1,100.37 × 368.54
  4. Step 4: Simplify right side
    733.94x = 405,530.36
  5. Step 5: Solve for x
    x = 405,530.36/733.94
  6. Step 6: Final answer
    x = 552.54

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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.