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Finding the Fourth Proportional to 938.74, 1,406.89 and 505.39

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Solution

The fourth proportional to 938.74, 1,406.89 and 505.39 is: 757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.74 : 1,406.89 = 505.39 : x
  2. Step 2: Convert to fraction form
    938.74/1,406.89 = 505.39/x
  3. Step 3: Cross multiply
    938.74x = 1,406.89 × 505.39
  4. Step 4: Simplify right side
    938.74x = 711,028.14
  5. Step 5: Solve for x
    x = 711,028.14/938.74
  6. Step 6: Final answer
    x = 757.43

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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.