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Finding the Fourth Proportional to 1,739.09, 2,609.07 and 506.60

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Solution

The fourth proportional to 1,739.09, 2,609.07 and 506.60 is: 760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.09 : 2,609.07 = 506.60 : x
  2. Step 2: Convert to fraction form
    1,739.09/2,609.07 = 506.60/x
  3. Step 3: Cross multiply
    1,739.09x = 2,609.07 × 506.60
  4. Step 4: Simplify right side
    1,739.09x = 1,321,754.86
  5. Step 5: Solve for x
    x = 1,321,754.86/1,739.09
  6. Step 6: Final answer
    x = 760.03

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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.