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Finding the Fourth Proportional to 850.11, 1,172.48 and 539.07

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Solution

The fourth proportional to 850.11, 1,172.48 and 539.07 is: 743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.11 : 1,172.48 = 539.07 : x
  2. Step 2: Convert to fraction form
    850.11/1,172.48 = 539.07/x
  3. Step 3: Cross multiply
    850.11x = 1,172.48 × 539.07
  4. Step 4: Simplify right side
    850.11x = 632,046.10
  5. Step 5: Solve for x
    x = 632,046.10/850.11
  6. Step 6: Final answer
    x = 743.49

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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.