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Finding the Fourth Proportional to 1,252.63, 1,876.21 and 635.27

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Solution

The fourth proportional to 1,252.63, 1,876.21 and 635.27 is: 951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.63 : 1,876.21 = 635.27 : x
  2. Step 2: Convert to fraction form
    1,252.63/1,876.21 = 635.27/x
  3. Step 3: Cross multiply
    1,252.63x = 1,876.21 × 635.27
  4. Step 4: Simplify right side
    1,252.63x = 1,191,899.93
  5. Step 5: Solve for x
    x = 1,191,899.93/1,252.63
  6. Step 6: Final answer
    x = 951.52

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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.