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Finding the Fourth Proportional to 1,193, 1,646.42 and 727

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Solution

The fourth proportional to 1,193, 1,646.42 and 727 is: 1,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193 : 1,646.42 = 727 : x
  2. Step 2: Convert to fraction form
    1,193/1,646.42 = 727/x
  3. Step 3: Cross multiply
    1,193x = 1,646.42 × 727
  4. Step 4: Simplify right side
    1,193x = 1,196,947.34
  5. Step 5: Solve for x
    x = 1,196,947.34/1,193
  6. Step 6: Final answer
    x = 1,003.31

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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.