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Finding the Fourth Proportional to 1,290.82, 1,933.08 and 827.14

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Solution

The fourth proportional to 1,290.82, 1,933.08 and 827.14 is: 1,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.82 : 1,933.08 = 827.14 : x
  2. Step 2: Convert to fraction form
    1,290.82/1,933.08 = 827.14/x
  3. Step 3: Cross multiply
    1,290.82x = 1,933.08 × 827.14
  4. Step 4: Simplify right side
    1,290.82x = 1,598,927.79
  5. Step 5: Solve for x
    x = 1,598,927.79/1,290.82
  6. Step 6: Final answer
    x = 1,238.69

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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.