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Finding the Fourth Proportional to 1,204.07, 1,662.80 and 832.01

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Solution

The fourth proportional to 1,204.07, 1,662.80 and 832.01 is: 1,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.07 : 1,662.80 = 832.01 : x
  2. Step 2: Convert to fraction form
    1,204.07/1,662.80 = 832.01/x
  3. Step 3: Cross multiply
    1,204.07x = 1,662.80 × 832.01
  4. Step 4: Simplify right side
    1,204.07x = 1,383,453.75
  5. Step 5: Solve for x
    x = 1,383,453.75/1,204.07
  6. Step 6: Final answer
    x = 1,148.99

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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.