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Finding the Fourth Proportional to 1,091.39, 1,636.37 and 397.92

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Solution

The fourth proportional to 1,091.39, 1,636.37 and 397.92 is: 596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.39 : 1,636.37 = 397.92 : x
  2. Step 2: Convert to fraction form
    1,091.39/1,636.37 = 397.92/x
  3. Step 3: Cross multiply
    1,091.39x = 1,636.37 × 397.92
  4. Step 4: Simplify right side
    1,091.39x = 651,142.36
  5. Step 5: Solve for x
    x = 651,142.36/1,091.39
  6. Step 6: Final answer
    x = 596.62

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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.