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Finding the Fourth Proportional to 1,101.66, 1,519.90 and 629.22

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Solution

The fourth proportional to 1,101.66, 1,519.90 and 629.22 is: 868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.66 : 1,519.90 = 629.22 : x
  2. Step 2: Convert to fraction form
    1,101.66/1,519.90 = 629.22/x
  3. Step 3: Cross multiply
    1,101.66x = 1,519.90 × 629.22
  4. Step 4: Simplify right side
    1,101.66x = 956,351.48
  5. Step 5: Solve for x
    x = 956,351.48/1,101.66
  6. Step 6: Final answer
    x = 868.10

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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.