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Finding the Fourth Proportional to 1,201.49, 1,802.36 and 335.80

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Solution

The fourth proportional to 1,201.49, 1,802.36 and 335.80 is: 503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.49 : 1,802.36 = 335.80 : x
  2. Step 2: Convert to fraction form
    1,201.49/1,802.36 = 335.80/x
  3. Step 3: Cross multiply
    1,201.49x = 1,802.36 × 335.80
  4. Step 4: Simplify right side
    1,201.49x = 605,232.49
  5. Step 5: Solve for x
    x = 605,232.49/1,201.49
  6. Step 6: Final answer
    x = 503.73

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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.