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Finding the Fourth Proportional to 794.36, 1,189.94 and 382.28

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Solution

The fourth proportional to 794.36, 1,189.94 and 382.28 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.36 : 1,189.94 = 382.28 : x
  2. Step 2: Convert to fraction form
    794.36/1,189.94 = 382.28/x
  3. Step 3: Cross multiply
    794.36x = 1,189.94 × 382.28
  4. Step 4: Simplify right side
    794.36x = 454,884.31
  5. Step 5: Solve for x
    x = 454,884.31/794.36
  6. Step 6: Final answer
    x = 572.64

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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.