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Finding the Fourth Proportional to 939.04, 1,401.99 and 828.30

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Solution

The fourth proportional to 939.04, 1,401.99 and 828.30 is: 1,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.04 : 1,401.99 = 828.30 : x
  2. Step 2: Convert to fraction form
    939.04/1,401.99 = 828.30/x
  3. Step 3: Cross multiply
    939.04x = 1,401.99 × 828.30
  4. Step 4: Simplify right side
    939.04x = 1,161,268.32
  5. Step 5: Solve for x
    x = 1,161,268.32/939.04
  6. Step 6: Final answer
    x = 1,236.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.