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Finding the Fourth Proportional to 849.13, 1,273.42 and 362.05

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Solution

The fourth proportional to 849.13, 1,273.42 and 362.05 is: 542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.13 : 1,273.42 = 362.05 : x
  2. Step 2: Convert to fraction form
    849.13/1,273.42 = 362.05/x
  3. Step 3: Cross multiply
    849.13x = 1,273.42 × 362.05
  4. Step 4: Simplify right side
    849.13x = 461,041.71
  5. Step 5: Solve for x
    x = 461,041.71/849.13
  6. Step 6: Final answer
    x = 542.96

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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.