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Finding the Fourth Proportional to 1,251.56, 1,876.86 and 635

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Solution

The fourth proportional to 1,251.56, 1,876.86 and 635 is: 952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.56 : 1,876.86 = 635 : x
  2. Step 2: Convert to fraction form
    1,251.56/1,876.86 = 635/x
  3. Step 3: Cross multiply
    1,251.56x = 1,876.86 × 635
  4. Step 4: Simplify right side
    1,251.56x = 1,191,806.10
  5. Step 5: Solve for x
    x = 1,191,806.10/1,251.56
  6. Step 6: Final answer
    x = 952.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.