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Finding the Fourth Proportional to 1,138.97, 1,707.97 and 480.42

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Solution

The fourth proportional to 1,138.97, 1,707.97 and 480.42 is: 720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.97 : 1,707.97 = 480.42 : x
  2. Step 2: Convert to fraction form
    1,138.97/1,707.97 = 480.42/x
  3. Step 3: Cross multiply
    1,138.97x = 1,707.97 × 480.42
  4. Step 4: Simplify right side
    1,138.97x = 820,542.95
  5. Step 5: Solve for x
    x = 820,542.95/1,138.97
  6. Step 6: Final answer
    x = 720.43

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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.