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Finding the Fourth Proportional to 1,286.93, 1,929.72 and 824.60

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Solution

The fourth proportional to 1,286.93, 1,929.72 and 824.60 is: 1,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.93 : 1,929.72 = 824.60 : x
  2. Step 2: Convert to fraction form
    1,286.93/1,929.72 = 824.60/x
  3. Step 3: Cross multiply
    1,286.93x = 1,929.72 × 824.60
  4. Step 4: Simplify right side
    1,286.93x = 1,591,247.11
  5. Step 5: Solve for x
    x = 1,591,247.11/1,286.93
  6. Step 6: Final answer
    x = 1,236.47

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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.