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Finding the Fourth Proportional to 849.08, 1,273.42 and 386.37

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Solution

The fourth proportional to 849.08, 1,273.42 and 386.37 is: 579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.08 : 1,273.42 = 386.37 : x
  2. Step 2: Convert to fraction form
    849.08/1,273.42 = 386.37/x
  3. Step 3: Cross multiply
    849.08x = 1,273.42 × 386.37
  4. Step 4: Simplify right side
    849.08x = 492,011.77
  5. Step 5: Solve for x
    x = 492,011.77/849.08
  6. Step 6: Final answer
    x = 579.46

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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.