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Finding the Fourth Proportional to 849.69, 1,273.02 and 764.07

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Solution

The fourth proportional to 849.69, 1,273.02 and 764.07 is: 1,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.69 : 1,273.02 = 764.07 : x
  2. Step 2: Convert to fraction form
    849.69/1,273.02 = 764.07/x
  3. Step 3: Cross multiply
    849.69x = 1,273.02 × 764.07
  4. Step 4: Simplify right side
    849.69x = 972,676.39
  5. Step 5: Solve for x
    x = 972,676.39/849.69
  6. Step 6: Final answer
    x = 1,144.74

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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.