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Finding the Fourth Proportional to 1,202.07, 1,803.41 and 336.38

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Solution

The fourth proportional to 1,202.07, 1,803.41 and 336.38 is: 504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.07 : 1,803.41 = 336.38 : x
  2. Step 2: Convert to fraction form
    1,202.07/1,803.41 = 336.38/x
  3. Step 3: Cross multiply
    1,202.07x = 1,803.41 × 336.38
  4. Step 4: Simplify right side
    1,202.07x = 606,620.36
  5. Step 5: Solve for x
    x = 606,620.36/1,202.07
  6. Step 6: Final answer
    x = 504.65

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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.