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Finding the Fourth Proportional to 906.56, 1,251.64 and 596.24

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Solution

The fourth proportional to 906.56, 1,251.64 and 596.24 is: 823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.56 : 1,251.64 = 596.24 : x
  2. Step 2: Convert to fraction form
    906.56/1,251.64 = 596.24/x
  3. Step 3: Cross multiply
    906.56x = 1,251.64 × 596.24
  4. Step 4: Simplify right side
    906.56x = 746,270.08
  5. Step 5: Solve for x
    x = 746,270.08/906.56
  6. Step 6: Final answer
    x = 823.19

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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.