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Finding the Fourth Proportional to 850.19, 1,172.07 and 727.16

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Solution

The fourth proportional to 850.19, 1,172.07 and 727.16 is: 1,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.19 : 1,172.07 = 727.16 : x
  2. Step 2: Convert to fraction form
    850.19/1,172.07 = 727.16/x
  3. Step 3: Cross multiply
    850.19x = 1,172.07 × 727.16
  4. Step 4: Simplify right side
    850.19x = 852,276.56
  5. Step 5: Solve for x
    x = 852,276.56/850.19
  6. Step 6: Final answer
    x = 1,002.46

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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.