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Finding the Fourth Proportional to 906.85, 1,251.50 and 533.74

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Solution

The fourth proportional to 906.85, 1,251.50 and 533.74 is: 736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.85 : 1,251.50 = 533.74 : x
  2. Step 2: Convert to fraction form
    906.85/1,251.50 = 533.74/x
  3. Step 3: Cross multiply
    906.85x = 1,251.50 × 533.74
  4. Step 4: Simplify right side
    906.85x = 667,975.16
  5. Step 5: Solve for x
    x = 667,975.16/906.85
  6. Step 6: Final answer
    x = 736.59

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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.