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Finding the Fourth Proportional to 1,632.68, 2,449.32 and 537.09

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Solution

The fourth proportional to 1,632.68, 2,449.32 and 537.09 is: 805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.68 : 2,449.32 = 537.09 : x
  2. Step 2: Convert to fraction form
    1,632.68/2,449.32 = 537.09/x
  3. Step 3: Cross multiply
    1,632.68x = 2,449.32 × 537.09
  4. Step 4: Simplify right side
    1,632.68x = 1,315,505.28
  5. Step 5: Solve for x
    x = 1,315,505.28/1,632.68
  6. Step 6: Final answer
    x = 805.73

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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.