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Finding the Fourth Proportional to 905.26, 1,250.25 and 710.26

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Solution

The fourth proportional to 905.26, 1,250.25 and 710.26 is: 980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.26 : 1,250.25 = 710.26 : x
  2. Step 2: Convert to fraction form
    905.26/1,250.25 = 710.26/x
  3. Step 3: Cross multiply
    905.26x = 1,250.25 × 710.26
  4. Step 4: Simplify right side
    905.26x = 888,002.57
  5. Step 5: Solve for x
    x = 888,002.57/905.26
  6. Step 6: Final answer
    x = 980.94

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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.