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Finding the Fourth Proportional to 725.21, 1,000.45 and 426.36

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Solution

The fourth proportional to 725.21, 1,000.45 and 426.36 is: 588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.21 : 1,000.45 = 426.36 : x
  2. Step 2: Convert to fraction form
    725.21/1,000.45 = 426.36/x
  3. Step 3: Cross multiply
    725.21x = 1,000.45 × 426.36
  4. Step 4: Simplify right side
    725.21x = 426,551.86
  5. Step 5: Solve for x
    x = 426,551.86/725.21
  6. Step 6: Final answer
    x = 588.18

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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.