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Finding the Fourth Proportional to 1,687.83, 2,533.37 and 822.75

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Solution

The fourth proportional to 1,687.83, 2,533.37 and 822.75 is: 1,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.83 : 2,533.37 = 822.75 : x
  2. Step 2: Convert to fraction form
    1,687.83/2,533.37 = 822.75/x
  3. Step 3: Cross multiply
    1,687.83x = 2,533.37 × 822.75
  4. Step 4: Simplify right side
    1,687.83x = 2,084,326.05
  5. Step 5: Solve for x
    x = 2,084,326.05/1,687.83
  6. Step 6: Final answer
    x = 1,234.91

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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.