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Finding the Fourth Proportional to 906.27, 1,250.69 and 591.72

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Solution

The fourth proportional to 906.27, 1,250.69 and 591.72 is: 816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.27 : 1,250.69 = 591.72 : x
  2. Step 2: Convert to fraction form
    906.27/1,250.69 = 591.72/x
  3. Step 3: Cross multiply
    906.27x = 1,250.69 × 591.72
  4. Step 4: Simplify right side
    906.27x = 740,055.33
  5. Step 5: Solve for x
    x = 740,055.33/906.27
  6. Step 6: Final answer
    x = 816.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.