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Finding the Fourth Proportional to 1,336.14, 2,003.99 and 362.25

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Solution

The fourth proportional to 1,336.14, 2,003.99 and 362.25 is: 543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.14 : 2,003.99 = 362.25 : x
  2. Step 2: Convert to fraction form
    1,336.14/2,003.99 = 362.25/x
  3. Step 3: Cross multiply
    1,336.14x = 2,003.99 × 362.25
  4. Step 4: Simplify right side
    1,336.14x = 725,943.57
  5. Step 5: Solve for x
    x = 725,943.57/1,336.14
  6. Step 6: Final answer
    x = 543.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.