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Finding the Fourth Proportional to 1,286.35, 1,775.12 and 726.82

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Solution

The fourth proportional to 1,286.35, 1,775.12 and 726.82 is: 1,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.35 : 1,775.12 = 726.82 : x
  2. Step 2: Convert to fraction form
    1,286.35/1,775.12 = 726.82/x
  3. Step 3: Cross multiply
    1,286.35x = 1,775.12 × 726.82
  4. Step 4: Simplify right side
    1,286.35x = 1,290,184.65
  5. Step 5: Solve for x
    x = 1,290,184.65/1,286.35
  6. Step 6: Final answer
    x = 1,002.98

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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.