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Finding the Fourth Proportional to 849.05, 1,172.02 and 825.64

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Solution

The fourth proportional to 849.05, 1,172.02 and 825.64 is: 1,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.05 : 1,172.02 = 825.64 : x
  2. Step 2: Convert to fraction form
    849.05/1,172.02 = 825.64/x
  3. Step 3: Cross multiply
    849.05x = 1,172.02 × 825.64
  4. Step 4: Simplify right side
    849.05x = 967,669.74
  5. Step 5: Solve for x
    x = 967,669.74/849.05
  6. Step 6: Final answer
    x = 1,139.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.