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Finding the Fourth Proportional to 1,287.20, 1,777.20 and 845.84

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Solution

The fourth proportional to 1,287.20, 1,777.20 and 845.84 is: 1,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.20 : 1,777.20 = 845.84 : x
  2. Step 2: Convert to fraction form
    1,287.20/1,777.20 = 845.84/x
  3. Step 3: Cross multiply
    1,287.20x = 1,777.20 × 845.84
  4. Step 4: Simplify right side
    1,287.20x = 1,503,226.85
  5. Step 5: Solve for x
    x = 1,503,226.85/1,287.20
  6. Step 6: Final answer
    x = 1,167.83

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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.