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Finding the Fourth Proportional to 1,101.30, 1,520.02 and 629.17

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Solution

The fourth proportional to 1,101.30, 1,520.02 and 629.17 is: 868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.30 : 1,520.02 = 629.17 : x
  2. Step 2: Convert to fraction form
    1,101.30/1,520.02 = 629.17/x
  3. Step 3: Cross multiply
    1,101.30x = 1,520.02 × 629.17
  4. Step 4: Simplify right side
    1,101.30x = 956,344.43
  5. Step 5: Solve for x
    x = 956,344.43/1,101.30
  6. Step 6: Final answer
    x = 868.38

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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.