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Finding the Fourth Proportional to 849.55, 1,172.87 and 584.39

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Solution

The fourth proportional to 849.55, 1,172.87 and 584.39 is: 806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.55 : 1,172.87 = 584.39 : x
  2. Step 2: Convert to fraction form
    849.55/1,172.87 = 584.39/x
  3. Step 3: Cross multiply
    849.55x = 1,172.87 × 584.39
  4. Step 4: Simplify right side
    849.55x = 685,410.58
  5. Step 5: Solve for x
    x = 685,410.58/849.55
  6. Step 6: Final answer
    x = 806.79

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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.