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Finding the Fourth Proportional to 906.50, 1,250.97 and 538.50

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Solution

The fourth proportional to 906.50, 1,250.97 and 538.50 is: 743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.50 : 1,250.97 = 538.50 : x
  2. Step 2: Convert to fraction form
    906.50/1,250.97 = 538.50/x
  3. Step 3: Cross multiply
    906.50x = 1,250.97 × 538.50
  4. Step 4: Simplify right side
    906.50x = 673,647.35
  5. Step 5: Solve for x
    x = 673,647.35/906.50
  6. Step 6: Final answer
    x = 743.13

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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.