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Finding the Fourth Proportional to 849.76, 1,270.66 and 605.54

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Solution

The fourth proportional to 849.76, 1,270.66 and 605.54 is: 905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.76 : 1,270.66 = 605.54 : x
  2. Step 2: Convert to fraction form
    849.76/1,270.66 = 605.54/x
  3. Step 3: Cross multiply
    849.76x = 1,270.66 × 605.54
  4. Step 4: Simplify right side
    849.76x = 769,435.46
  5. Step 5: Solve for x
    x = 769,435.46/849.76
  6. Step 6: Final answer
    x = 905.47

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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.