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Finding the Fourth Proportional to 1,205.89, 1,809.07 and 832.23

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Solution

The fourth proportional to 1,205.89, 1,809.07 and 832.23 is: 1,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.89 : 1,809.07 = 832.23 : x
  2. Step 2: Convert to fraction form
    1,205.89/1,809.07 = 832.23/x
  3. Step 3: Cross multiply
    1,205.89x = 1,809.07 × 832.23
  4. Step 4: Simplify right side
    1,205.89x = 1,505,560.25
  5. Step 5: Solve for x
    x = 1,505,560.25/1,205.89
  6. Step 6: Final answer
    x = 1,248.50

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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.