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Finding the Fourth Proportional to 939.39, 1,296.25 and 541.11

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Solution

The fourth proportional to 939.39, 1,296.25 and 541.11 is: 746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.39 : 1,296.25 = 541.11 : x
  2. Step 2: Convert to fraction form
    939.39/1,296.25 = 541.11/x
  3. Step 3: Cross multiply
    939.39x = 1,296.25 × 541.11
  4. Step 4: Simplify right side
    939.39x = 701,413.84
  5. Step 5: Solve for x
    x = 701,413.84/939.39
  6. Step 6: Final answer
    x = 746.67

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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.