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Finding the Fourth Proportional to 1,138.44, 1,708.07 and 480.48

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Solution

The fourth proportional to 1,138.44, 1,708.07 and 480.48 is: 720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.44 : 1,708.07 = 480.48 : x
  2. Step 2: Convert to fraction form
    1,138.44/1,708.07 = 480.48/x
  3. Step 3: Cross multiply
    1,138.44x = 1,708.07 × 480.48
  4. Step 4: Simplify right side
    1,138.44x = 820,693.47
  5. Step 5: Solve for x
    x = 820,693.47/1,138.44
  6. Step 6: Final answer
    x = 720.90

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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.