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Finding the Fourth Proportional to 1,201.92, 1,802.99 and 336.24

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Solution

The fourth proportional to 1,201.92, 1,802.99 and 336.24 is: 504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.92 : 1,802.99 = 336.24 : x
  2. Step 2: Convert to fraction form
    1,201.92/1,802.99 = 336.24/x
  3. Step 3: Cross multiply
    1,201.92x = 1,802.99 × 336.24
  4. Step 4: Simplify right side
    1,201.92x = 606,235.68
  5. Step 5: Solve for x
    x = 606,235.68/1,201.92
  6. Step 6: Final answer
    x = 504.39

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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.