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Finding the Fourth Proportional to 938.84, 1,408.66 and 506.30

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Solution

The fourth proportional to 938.84, 1,408.66 and 506.30 is: 759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.84 : 1,408.66 = 506.30 : x
  2. Step 2: Convert to fraction form
    938.84/1,408.66 = 506.30/x
  3. Step 3: Cross multiply
    938.84x = 1,408.66 × 506.30
  4. Step 4: Simplify right side
    938.84x = 713,196.25
  5. Step 5: Solve for x
    x = 713,196.25/938.84
  6. Step 6: Final answer
    x = 759.66

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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.