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Finding the Fourth Proportional to 938.53, 1,408.07 and 451.99

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Solution

The fourth proportional to 938.53, 1,408.07 and 451.99 is: 678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.53 : 1,408.07 = 451.99 : x
  2. Step 2: Convert to fraction form
    938.53/1,408.07 = 451.99/x
  3. Step 3: Cross multiply
    938.53x = 1,408.07 × 451.99
  4. Step 4: Simplify right side
    938.53x = 636,433.56
  5. Step 5: Solve for x
    x = 636,433.56/938.53
  6. Step 6: Final answer
    x = 678.12

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Why These Related Problems?

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