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Finding the Fourth Proportional to 1,008.34, 1,512.22 and 277.94

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Solution

The fourth proportional to 1,008.34, 1,512.22 and 277.94 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.34 : 1,512.22 = 277.94 : x
  2. Step 2: Convert to fraction form
    1,008.34/1,512.22 = 277.94/x
  3. Step 3: Cross multiply
    1,008.34x = 1,512.22 × 277.94
  4. Step 4: Simplify right side
    1,008.34x = 420,306.43
  5. Step 5: Solve for x
    x = 420,306.43/1,008.34
  6. Step 6: Final answer
    x = 416.83

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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.