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Finding the Fourth Proportional to 1,243.49, 1,716.50 and 771.48

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Solution

The fourth proportional to 1,243.49, 1,716.50 and 771.48 is: 1,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.49 : 1,716.50 = 771.48 : x
  2. Step 2: Convert to fraction form
    1,243.49/1,716.50 = 771.48/x
  3. Step 3: Cross multiply
    1,243.49x = 1,716.50 × 771.48
  4. Step 4: Simplify right side
    1,243.49x = 1,324,247.35
  5. Step 5: Solve for x
    x = 1,324,247.35/1,243.49
  6. Step 6: Final answer
    x = 1,064.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.