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Finding the Fourth Proportional to 714.63, 1,072.70 and 422.43

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Solution

The fourth proportional to 714.63, 1,072.70 and 422.43 is: 634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.63 : 1,072.70 = 422.43 : x
  2. Step 2: Convert to fraction form
    714.63/1,072.70 = 422.43/x
  3. Step 3: Cross multiply
    714.63x = 1,072.70 × 422.43
  4. Step 4: Simplify right side
    714.63x = 453,140.66
  5. Step 5: Solve for x
    x = 453,140.66/714.63
  6. Step 6: Final answer
    x = 634.09

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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.