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Finding the Fourth Proportional to 1,160.46, 1,738.26 and 673.25

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Solution

The fourth proportional to 1,160.46, 1,738.26 and 673.25 is: 1,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.46 : 1,738.26 = 673.25 : x
  2. Step 2: Convert to fraction form
    1,160.46/1,738.26 = 673.25/x
  3. Step 3: Cross multiply
    1,160.46x = 1,738.26 × 673.25
  4. Step 4: Simplify right side
    1,160.46x = 1,170,274.85
  5. Step 5: Solve for x
    x = 1,170,274.85/1,160.46
  6. Step 6: Final answer
    x = 1,008.46

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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.