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Finding the Fourth Proportional to 849.29, 1,273.02 and 386.37

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Solution

The fourth proportional to 849.29, 1,273.02 and 386.37 is: 579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.29 : 1,273.02 = 386.37 : x
  2. Step 2: Convert to fraction form
    849.29/1,273.02 = 386.37/x
  3. Step 3: Cross multiply
    849.29x = 1,273.02 × 386.37
  4. Step 4: Simplify right side
    849.29x = 491,855.29
  5. Step 5: Solve for x
    x = 491,855.29/849.29
  6. Step 6: Final answer
    x = 579.14

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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.