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Finding the Fourth Proportional to 948.63, 1,422.45 and 447.78

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Solution

The fourth proportional to 948.63, 1,422.45 and 447.78 is: 671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.63 : 1,422.45 = 447.78 : x
  2. Step 2: Convert to fraction form
    948.63/1,422.45 = 447.78/x
  3. Step 3: Cross multiply
    948.63x = 1,422.45 × 447.78
  4. Step 4: Simplify right side
    948.63x = 636,944.66
  5. Step 5: Solve for x
    x = 636,944.66/948.63
  6. Step 6: Final answer
    x = 671.44

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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.