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Finding the Fourth Proportional to 1,286.03, 1,932.11 and 824.71

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Solution

The fourth proportional to 1,286.03, 1,932.11 and 824.71 is: 1,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.03 : 1,932.11 = 824.71 : x
  2. Step 2: Convert to fraction form
    1,286.03/1,932.11 = 824.71/x
  3. Step 3: Cross multiply
    1,286.03x = 1,932.11 × 824.71
  4. Step 4: Simplify right side
    1,286.03x = 1,593,427.67
  5. Step 5: Solve for x
    x = 1,593,427.67/1,286.03
  6. Step 6: Final answer
    x = 1,239.03

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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.