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Finding the Fourth Proportional to 1,278.27, 1,764.27 and 835.41

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Solution

The fourth proportional to 1,278.27, 1,764.27 and 835.41 is: 1,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.27 : 1,764.27 = 835.41 : x
  2. Step 2: Convert to fraction form
    1,278.27/1,764.27 = 835.41/x
  3. Step 3: Cross multiply
    1,278.27x = 1,764.27 × 835.41
  4. Step 4: Simplify right side
    1,278.27x = 1,473,888.80
  5. Step 5: Solve for x
    x = 1,473,888.80/1,278.27
  6. Step 6: Final answer
    x = 1,153.03

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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.