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Finding the Fourth Proportional to 1,101.62, 1,520.57 and 629.78

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Solution

The fourth proportional to 1,101.62, 1,520.57 and 629.78 is: 869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.62 : 1,520.57 = 629.78 : x
  2. Step 2: Convert to fraction form
    1,101.62/1,520.57 = 629.78/x
  3. Step 3: Cross multiply
    1,101.62x = 1,520.57 × 629.78
  4. Step 4: Simplify right side
    1,101.62x = 957,618.55
  5. Step 5: Solve for x
    x = 957,618.55/1,101.62
  6. Step 6: Final answer
    x = 869.28

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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.