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Finding the Fourth Proportional to 849.13, 1,172.72 and 584.27

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Solution

The fourth proportional to 849.13, 1,172.72 and 584.27 is: 806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.13 : 1,172.72 = 584.27 : x
  2. Step 2: Convert to fraction form
    849.13/1,172.72 = 584.27/x
  3. Step 3: Cross multiply
    849.13x = 1,172.72 × 584.27
  4. Step 4: Simplify right side
    849.13x = 685,185.11
  5. Step 5: Solve for x
    x = 685,185.11/849.13
  6. Step 6: Final answer
    x = 806.93

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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.