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Finding the Fourth Proportional to 901.98, 1,352.97 and 408.11

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Solution

The fourth proportional to 901.98, 1,352.97 and 408.11 is: 612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.98 : 1,352.97 = 408.11 : x
  2. Step 2: Convert to fraction form
    901.98/1,352.97 = 408.11/x
  3. Step 3: Cross multiply
    901.98x = 1,352.97 × 408.11
  4. Step 4: Simplify right side
    901.98x = 552,160.59
  5. Step 5: Solve for x
    x = 552,160.59/901.98
  6. Step 6: Final answer
    x = 612.17

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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.