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Finding the Fourth Proportional to 1,167.46, 1,749.37 and 733.71

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Solution

The fourth proportional to 1,167.46, 1,749.37 and 733.71 is: 1,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.46 : 1,749.37 = 733.71 : x
  2. Step 2: Convert to fraction form
    1,167.46/1,749.37 = 733.71/x
  3. Step 3: Cross multiply
    1,167.46x = 1,749.37 × 733.71
  4. Step 4: Simplify right side
    1,167.46x = 1,283,523.94
  5. Step 5: Solve for x
    x = 1,283,523.94/1,167.46
  6. Step 6: Final answer
    x = 1,099.41

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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.