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Finding the Fourth Proportional to 1,632.56, 2,449.78 and 659.48

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Solution

The fourth proportional to 1,632.56, 2,449.78 and 659.48 is: 989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.56 : 2,449.78 = 659.48 : x
  2. Step 2: Convert to fraction form
    1,632.56/2,449.78 = 659.48/x
  3. Step 3: Cross multiply
    1,632.56x = 2,449.78 × 659.48
  4. Step 4: Simplify right side
    1,632.56x = 1,615,567.02
  5. Step 5: Solve for x
    x = 1,615,567.02/1,632.56
  6. Step 6: Final answer
    x = 989.59

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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.