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Finding the Fourth Proportional to 1,287.37, 1,765.93 and 1,212.85

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Solution

The fourth proportional to 1,287.37, 1,765.93 and 1,212.85 is: 1,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.37 : 1,765.93 = 1,212.85 : x
  2. Step 2: Convert to fraction form
    1,287.37/1,765.93 = 1,212.85/x
  3. Step 3: Cross multiply
    1,287.37x = 1,765.93 × 1,212.85
  4. Step 4: Simplify right side
    1,287.37x = 2,141,808.20
  5. Step 5: Solve for x
    x = 2,141,808.20/1,287.37
  6. Step 6: Final answer
    x = 1,663.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.