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Finding the Fourth Proportional to 1,100.76, 1,519.04 and 635

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Solution

The fourth proportional to 1,100.76, 1,519.04 and 635 is: 876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.76 : 1,519.04 = 635 : x
  2. Step 2: Convert to fraction form
    1,100.76/1,519.04 = 635/x
  3. Step 3: Cross multiply
    1,100.76x = 1,519.04 × 635
  4. Step 4: Simplify right side
    1,100.76x = 964,590.40
  5. Step 5: Solve for x
    x = 964,590.40/1,100.76
  6. Step 6: Final answer
    x = 876.29

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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.