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Finding the Fourth Proportional to 1,280.77, 1,764.07 and 1,103.38

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Solution

The fourth proportional to 1,280.77, 1,764.07 and 1,103.38 is: 1,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.77 : 1,764.07 = 1,103.38 : x
  2. Step 2: Convert to fraction form
    1,280.77/1,764.07 = 1,103.38/x
  3. Step 3: Cross multiply
    1,280.77x = 1,764.07 × 1,103.38
  4. Step 4: Simplify right side
    1,280.77x = 1,946,439.56
  5. Step 5: Solve for x
    x = 1,946,439.56/1,280.77
  6. Step 6: Final answer
    x = 1,519.74

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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.