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Finding the Fourth Proportional to 1,169.01, 1,753.76 and 388.97

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Solution

The fourth proportional to 1,169.01, 1,753.76 and 388.97 is: 583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.01 : 1,753.76 = 388.97 : x
  2. Step 2: Convert to fraction form
    1,169.01/1,753.76 = 388.97/x
  3. Step 3: Cross multiply
    1,169.01x = 1,753.76 × 388.97
  4. Step 4: Simplify right side
    1,169.01x = 682,149.31
  5. Step 5: Solve for x
    x = 682,149.31/1,169.01
  6. Step 6: Final answer
    x = 583.53

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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.