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Finding the Fourth Proportional to 938.64, 1,294.08 and 908.40

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Solution

The fourth proportional to 938.64, 1,294.08 and 908.40 is: 1,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.64 : 1,294.08 = 908.40 : x
  2. Step 2: Convert to fraction form
    938.64/1,294.08 = 908.40/x
  3. Step 3: Cross multiply
    938.64x = 1,294.08 × 908.40
  4. Step 4: Simplify right side
    938.64x = 1,175,542.27
  5. Step 5: Solve for x
    x = 1,175,542.27/938.64
  6. Step 6: Final answer
    x = 1,252.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.