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Finding the Fourth Proportional to 939.89, 1,409.82 and 362.75

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Solution

The fourth proportional to 939.89, 1,409.82 and 362.75 is: 544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.89 : 1,409.82 = 362.75 : x
  2. Step 2: Convert to fraction form
    939.89/1,409.82 = 362.75/x
  3. Step 3: Cross multiply
    939.89x = 1,409.82 × 362.75
  4. Step 4: Simplify right side
    939.89x = 511,412.21
  5. Step 5: Solve for x
    x = 511,412.21/939.89
  6. Step 6: Final answer
    x = 544.12

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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.