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Finding the Fourth Proportional to 1,107.25, 1,661.09 and 414.41

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Solution

The fourth proportional to 1,107.25, 1,661.09 and 414.41 is: 621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.25 : 1,661.09 = 414.41 : x
  2. Step 2: Convert to fraction form
    1,107.25/1,661.09 = 414.41/x
  3. Step 3: Cross multiply
    1,107.25x = 1,661.09 × 414.41
  4. Step 4: Simplify right side
    1,107.25x = 688,372.31
  5. Step 5: Solve for x
    x = 688,372.31/1,107.25
  6. Step 6: Final answer
    x = 621.70

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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.