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Finding the Fourth Proportional to 1,008.36, 1,512.45 and 277.88

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Solution

The fourth proportional to 1,008.36, 1,512.45 and 277.88 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.36 : 1,512.45 = 277.88 : x
  2. Step 2: Convert to fraction form
    1,008.36/1,512.45 = 277.88/x
  3. Step 3: Cross multiply
    1,008.36x = 1,512.45 × 277.88
  4. Step 4: Simplify right side
    1,008.36x = 420,272.04
  5. Step 5: Solve for x
    x = 420,272.04/1,008.36
  6. Step 6: Final answer
    x = 416.79

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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.