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Finding the Fourth Proportional to 1,091.56, 1,634.73 and 597.23

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Solution

The fourth proportional to 1,091.56, 1,634.73 and 597.23 is: 894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.56 : 1,634.73 = 597.23 : x
  2. Step 2: Convert to fraction form
    1,091.56/1,634.73 = 597.23/x
  3. Step 3: Cross multiply
    1,091.56x = 1,634.73 × 597.23
  4. Step 4: Simplify right side
    1,091.56x = 976,309.80
  5. Step 5: Solve for x
    x = 976,309.80/1,091.56
  6. Step 6: Final answer
    x = 894.42

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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.