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Finding the Fourth Proportional to 1,308.94, 1,805.81 and 749.30

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Solution

The fourth proportional to 1,308.94, 1,805.81 and 749.30 is: 1,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.94 : 1,805.81 = 749.30 : x
  2. Step 2: Convert to fraction form
    1,308.94/1,805.81 = 749.30/x
  3. Step 3: Cross multiply
    1,308.94x = 1,805.81 × 749.30
  4. Step 4: Simplify right side
    1,308.94x = 1,353,093.43
  5. Step 5: Solve for x
    x = 1,353,093.43/1,308.94
  6. Step 6: Final answer
    x = 1,033.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.