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Finding the Fourth Proportional to 938.04, 1,408.26 and 499.80

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Solution

The fourth proportional to 938.04, 1,408.26 and 499.80 is: 750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.04 : 1,408.26 = 499.80 : x
  2. Step 2: Convert to fraction form
    938.04/1,408.26 = 499.80/x
  3. Step 3: Cross multiply
    938.04x = 1,408.26 × 499.80
  4. Step 4: Simplify right side
    938.04x = 703,848.35
  5. Step 5: Solve for x
    x = 703,848.35/938.04
  6. Step 6: Final answer
    x = 750.34

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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.