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Finding the Fourth Proportional to 1,422.07, 2,132.80 and 447.95

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Solution

The fourth proportional to 1,422.07, 2,132.80 and 447.95 is: 671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.07 : 2,132.80 = 447.95 : x
  2. Step 2: Convert to fraction form
    1,422.07/2,132.80 = 447.95/x
  3. Step 3: Cross multiply
    1,422.07x = 2,132.80 × 447.95
  4. Step 4: Simplify right side
    1,422.07x = 955,391.97
  5. Step 5: Solve for x
    x = 955,391.97/1,422.07
  6. Step 6: Final answer
    x = 671.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.