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Finding the Fourth Proportional to 1,704.37, 2,556.42 and 730.48

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Solution

The fourth proportional to 1,704.37, 2,556.42 and 730.48 is: 1,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.37 : 2,556.42 = 730.48 : x
  2. Step 2: Convert to fraction form
    1,704.37/2,556.42 = 730.48/x
  3. Step 3: Cross multiply
    1,704.37x = 2,556.42 × 730.48
  4. Step 4: Simplify right side
    1,704.37x = 1,867,413.68
  5. Step 5: Solve for x
    x = 1,867,413.68/1,704.37
  6. Step 6: Final answer
    x = 1,095.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.