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Finding the Fourth Proportional to 794.45, 1,189.38 and 589.97

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Solution

The fourth proportional to 794.45, 1,189.38 and 589.97 is: 883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.45 : 1,189.38 = 589.97 : x
  2. Step 2: Convert to fraction form
    794.45/1,189.38 = 589.97/x
  3. Step 3: Cross multiply
    794.45x = 1,189.38 × 589.97
  4. Step 4: Simplify right side
    794.45x = 701,698.52
  5. Step 5: Solve for x
    x = 701,698.52/794.45
  6. Step 6: Final answer
    x = 883.25

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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.