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Finding the Fourth Proportional to 901.09, 1,350.78 and 284.37

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Solution

The fourth proportional to 901.09, 1,350.78 and 284.37 is: 426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.09 : 1,350.78 = 284.37 : x
  2. Step 2: Convert to fraction form
    901.09/1,350.78 = 284.37/x
  3. Step 3: Cross multiply
    901.09x = 1,350.78 × 284.37
  4. Step 4: Simplify right side
    901.09x = 384,121.31
  5. Step 5: Solve for x
    x = 384,121.31/901.09
  6. Step 6: Final answer
    x = 426.29

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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.