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Finding the Fourth Proportional to 1,072.36, 1,607.32 and 828.15

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Solution

The fourth proportional to 1,072.36, 1,607.32 and 828.15 is: 1,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.36 : 1,607.32 = 828.15 : x
  2. Step 2: Convert to fraction form
    1,072.36/1,607.32 = 828.15/x
  3. Step 3: Cross multiply
    1,072.36x = 1,607.32 × 828.15
  4. Step 4: Simplify right side
    1,072.36x = 1,331,102.06
  5. Step 5: Solve for x
    x = 1,331,102.06/1,072.36
  6. Step 6: Final answer
    x = 1,241.28

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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.