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Finding the Fourth Proportional to 905.38, 1,250.98 and 720.50

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Solution

The fourth proportional to 905.38, 1,250.98 and 720.50 is: 995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.38 : 1,250.98 = 720.50 : x
  2. Step 2: Convert to fraction form
    905.38/1,250.98 = 720.50/x
  3. Step 3: Cross multiply
    905.38x = 1,250.98 × 720.50
  4. Step 4: Simplify right side
    905.38x = 901,323.03
  5. Step 5: Solve for x
    x = 901,323.03/905.38
  6. Step 6: Final answer
    x = 995.52

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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.