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Finding the Fourth Proportional to 714.99, 1,072.66 and 422.74

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Solution

The fourth proportional to 714.99, 1,072.66 and 422.74 is: 634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.99 : 1,072.66 = 422.74 : x
  2. Step 2: Convert to fraction form
    714.99/1,072.66 = 422.74/x
  3. Step 3: Cross multiply
    714.99x = 1,072.66 × 422.74
  4. Step 4: Simplify right side
    714.99x = 453,456.29
  5. Step 5: Solve for x
    x = 453,456.29/714.99
  6. Step 6: Final answer
    x = 634.21

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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.