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Finding the Fourth Proportional to 1,144.67, 1,715.45 and 733.59

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Solution

The fourth proportional to 1,144.67, 1,715.45 and 733.59 is: 1,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.67 : 1,715.45 = 733.59 : x
  2. Step 2: Convert to fraction form
    1,144.67/1,715.45 = 733.59/x
  3. Step 3: Cross multiply
    1,144.67x = 1,715.45 × 733.59
  4. Step 4: Simplify right side
    1,144.67x = 1,258,433.30
  5. Step 5: Solve for x
    x = 1,258,433.30/1,144.67
  6. Step 6: Final answer
    x = 1,099.39

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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.