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Finding the Fourth Proportional to 1,632.39, 2,447.29 and 755.47

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Solution

The fourth proportional to 1,632.39, 2,447.29 and 755.47 is: 1,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.39 : 2,447.29 = 755.47 : x
  2. Step 2: Convert to fraction form
    1,632.39/2,447.29 = 755.47/x
  3. Step 3: Cross multiply
    1,632.39x = 2,447.29 × 755.47
  4. Step 4: Simplify right side
    1,632.39x = 1,848,854.18
  5. Step 5: Solve for x
    x = 1,848,854.18/1,632.39
  6. Step 6: Final answer
    x = 1,132.61

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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.