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Finding the Fourth Proportional to 745.75, 1,116.73 and 514.09

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Solution

The fourth proportional to 745.75, 1,116.73 and 514.09 is: 769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.75 : 1,116.73 = 514.09 : x
  2. Step 2: Convert to fraction form
    745.75/1,116.73 = 514.09/x
  3. Step 3: Cross multiply
    745.75x = 1,116.73 × 514.09
  4. Step 4: Simplify right side
    745.75x = 574,099.73
  5. Step 5: Solve for x
    x = 574,099.73/745.75
  6. Step 6: Final answer
    x = 769.83

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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.