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Finding the Fourth Proportional to 794.40, 1,189.44 and 588.48

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Solution

The fourth proportional to 794.40, 1,189.44 and 588.48 is: 881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.40 : 1,189.44 = 588.48 : x
  2. Step 2: Convert to fraction form
    794.40/1,189.44 = 588.48/x
  3. Step 3: Cross multiply
    794.40x = 1,189.44 × 588.48
  4. Step 4: Simplify right side
    794.40x = 699,961.65
  5. Step 5: Solve for x
    x = 699,961.65/794.40
  6. Step 6: Final answer
    x = 881.12

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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.