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Finding the Fourth Proportional to 1,251.63, 1,874.71 and 634.27

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Solution

The fourth proportional to 1,251.63, 1,874.71 and 634.27 is: 950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.63 : 1,874.71 = 634.27 : x
  2. Step 2: Convert to fraction form
    1,251.63/1,874.71 = 634.27/x
  3. Step 3: Cross multiply
    1,251.63x = 1,874.71 × 634.27
  4. Step 4: Simplify right side
    1,251.63x = 1,189,072.31
  5. Step 5: Solve for x
    x = 1,189,072.31/1,251.63
  6. Step 6: Final answer
    x = 950.02

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Why These Related Problems?

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