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Finding the Fourth Proportional to 938.70, 1,407.74 and 451.44

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Solution

The fourth proportional to 938.70, 1,407.74 and 451.44 is: 677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.70 : 1,407.74 = 451.44 : x
  2. Step 2: Convert to fraction form
    938.70/1,407.74 = 451.44/x
  3. Step 3: Cross multiply
    938.70x = 1,407.74 × 451.44
  4. Step 4: Simplify right side
    938.70x = 635,507.89
  5. Step 5: Solve for x
    x = 635,507.89/938.70
  6. Step 6: Final answer
    x = 677.01

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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.