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Finding the Fourth Proportional to 906.26, 1,251.52 and 774.50

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Solution

The fourth proportional to 906.26, 1,251.52 and 774.50 is: 1,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.26 : 1,251.52 = 774.50 : x
  2. Step 2: Convert to fraction form
    906.26/1,251.52 = 774.50/x
  3. Step 3: Cross multiply
    906.26x = 1,251.52 × 774.50
  4. Step 4: Simplify right side
    906.26x = 969,302.24
  5. Step 5: Solve for x
    x = 969,302.24/906.26
  6. Step 6: Final answer
    x = 1,069.56

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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.