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Finding the Fourth Proportional to 1,236.06, 1,850.45 and 824.18

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Solution

The fourth proportional to 1,236.06, 1,850.45 and 824.18 is: 1,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.06 : 1,850.45 = 824.18 : x
  2. Step 2: Convert to fraction form
    1,236.06/1,850.45 = 824.18/x
  3. Step 3: Cross multiply
    1,236.06x = 1,850.45 × 824.18
  4. Step 4: Simplify right side
    1,236.06x = 1,525,090.51
  5. Step 5: Solve for x
    x = 1,525,090.51/1,236.06
  6. Step 6: Final answer
    x = 1,233.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.