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Finding the Fourth Proportional to 937.68, 1,408.13 and 574.59

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Solution

The fourth proportional to 937.68, 1,408.13 and 574.59 is: 862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.68 : 1,408.13 = 574.59 : x
  2. Step 2: Convert to fraction form
    937.68/1,408.13 = 574.59/x
  3. Step 3: Cross multiply
    937.68x = 1,408.13 × 574.59
  4. Step 4: Simplify right side
    937.68x = 809,105.21
  5. Step 5: Solve for x
    x = 809,105.21/937.68
  6. Step 6: Final answer
    x = 862.88

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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.