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Finding the Fourth Proportional to 849.18, 1,273.01 and 301.07

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Solution

The fourth proportional to 849.18, 1,273.01 and 301.07 is: 451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.18 : 1,273.01 = 301.07 : x
  2. Step 2: Convert to fraction form
    849.18/1,273.01 = 301.07/x
  3. Step 3: Cross multiply
    849.18x = 1,273.01 × 301.07
  4. Step 4: Simplify right side
    849.18x = 383,266.80
  5. Step 5: Solve for x
    x = 383,266.80/849.18
  6. Step 6: Final answer
    x = 451.34

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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.