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Finding the Fourth Proportional to 1,739.62, 2,609.34 and 507.00

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Solution

The fourth proportional to 1,739.62, 2,609.34 and 507.00 is: 760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.62 : 2,609.34 = 507.00 : x
  2. Step 2: Convert to fraction form
    1,739.62/2,609.34 = 507.00/x
  3. Step 3: Cross multiply
    1,739.62x = 2,609.34 × 507.00
  4. Step 4: Simplify right side
    1,739.62x = 1,322,922.33
  5. Step 5: Solve for x
    x = 1,322,922.33/1,739.62
  6. Step 6: Final answer
    x = 760.47

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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.