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Finding the Fourth Proportional to 1,339.14, 2,008.77 and 365.34

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Solution

The fourth proportional to 1,339.14, 2,008.77 and 365.34 is: 548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.14 : 2,008.77 = 365.34 : x
  2. Step 2: Convert to fraction form
    1,339.14/2,008.77 = 365.34/x
  3. Step 3: Cross multiply
    1,339.14x = 2,008.77 × 365.34
  4. Step 4: Simplify right side
    1,339.14x = 733,884.03
  5. Step 5: Solve for x
    x = 733,884.03/1,339.14
  6. Step 6: Final answer
    x = 548.03

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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.