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Finding the Fourth Proportional to 937.82, 1,406.92 and 451.46

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Solution

The fourth proportional to 937.82, 1,406.92 and 451.46 is: 677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.82 : 1,406.92 = 451.46 : x
  2. Step 2: Convert to fraction form
    937.82/1,406.92 = 451.46/x
  3. Step 3: Cross multiply
    937.82x = 1,406.92 × 451.46
  4. Step 4: Simplify right side
    937.82x = 635,168.10
  5. Step 5: Solve for x
    x = 635,168.10/937.82
  6. Step 6: Final answer
    x = 677.28

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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.