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Finding the Fourth Proportional to 1,205.37, 1,664.15 and 832.77

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Solution

The fourth proportional to 1,205.37, 1,664.15 and 832.77 is: 1,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.37 : 1,664.15 = 832.77 : x
  2. Step 2: Convert to fraction form
    1,205.37/1,664.15 = 832.77/x
  3. Step 3: Cross multiply
    1,205.37x = 1,664.15 × 832.77
  4. Step 4: Simplify right side
    1,205.37x = 1,385,850.03
  5. Step 5: Solve for x
    x = 1,385,850.03/1,205.37
  6. Step 6: Final answer
    x = 1,149.73

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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.