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Finding the Fourth Proportional to 721.04, 994.82 and 426.20

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Solution

The fourth proportional to 721.04, 994.82 and 426.20 is: 588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.04 : 994.82 = 426.20 : x
  2. Step 2: Convert to fraction form
    721.04/994.82 = 426.20/x
  3. Step 3: Cross multiply
    721.04x = 994.82 × 426.20
  4. Step 4: Simplify right side
    721.04x = 423,992.28
  5. Step 5: Solve for x
    x = 423,992.28/721.04
  6. Step 6: Final answer
    x = 588.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.