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Finding the Fourth Proportional to 725.21, 1,086.30 and 570.41

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Solution

The fourth proportional to 725.21, 1,086.30 and 570.41 is: 854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.21 : 1,086.30 = 570.41 : x
  2. Step 2: Convert to fraction form
    725.21/1,086.30 = 570.41/x
  3. Step 3: Cross multiply
    725.21x = 1,086.30 × 570.41
  4. Step 4: Simplify right side
    725.21x = 619,630.95
  5. Step 5: Solve for x
    x = 619,630.95/725.21
  6. Step 6: Final answer
    x = 854.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.