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Finding the Fourth Proportional to 794.43, 1,190.43 and 588.04

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Solution

The fourth proportional to 794.43, 1,190.43 and 588.04 is: 881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.43 : 1,190.43 = 588.04 : x
  2. Step 2: Convert to fraction form
    794.43/1,190.43 = 588.04/x
  3. Step 3: Cross multiply
    794.43x = 1,190.43 × 588.04
  4. Step 4: Simplify right side
    794.43x = 700,017.48
  5. Step 5: Solve for x
    x = 700,017.48/794.43
  6. Step 6: Final answer
    x = 881.16

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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.