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Finding the Fourth Proportional to 1,236.79, 1,852.75 and 976.78

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Solution

The fourth proportional to 1,236.79, 1,852.75 and 976.78 is: 1,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.79 : 1,852.75 = 976.78 : x
  2. Step 2: Convert to fraction form
    1,236.79/1,852.75 = 976.78/x
  3. Step 3: Cross multiply
    1,236.79x = 1,852.75 × 976.78
  4. Step 4: Simplify right side
    1,236.79x = 1,809,729.15
  5. Step 5: Solve for x
    x = 1,809,729.15/1,236.79
  6. Step 6: Final answer
    x = 1,463.25

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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.