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Finding the Fourth Proportional to 1,447.75, 2,171.63 and 421.75

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Solution

The fourth proportional to 1,447.75, 2,171.63 and 421.75 is: 632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.75 : 2,171.63 = 421.75 : x
  2. Step 2: Convert to fraction form
    1,447.75/2,171.63 = 421.75/x
  3. Step 3: Cross multiply
    1,447.75x = 2,171.63 × 421.75
  4. Step 4: Simplify right side
    1,447.75x = 915,884.95
  5. Step 5: Solve for x
    x = 915,884.95/1,447.75
  6. Step 6: Final answer
    x = 632.63

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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.