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Finding the Fourth Proportional to 938.96, 1,409.52 and 427.04

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Solution

The fourth proportional to 938.96, 1,409.52 and 427.04 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.96 : 1,409.52 = 427.04 : x
  2. Step 2: Convert to fraction form
    938.96/1,409.52 = 427.04/x
  3. Step 3: Cross multiply
    938.96x = 1,409.52 × 427.04
  4. Step 4: Simplify right side
    938.96x = 601,921.42
  5. Step 5: Solve for x
    x = 601,921.42/938.96
  6. Step 6: Final answer
    x = 641.05

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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.