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Finding the Fourth Proportional to 1,107.80, 1,661.49 and 414.39

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Solution

The fourth proportional to 1,107.80, 1,661.49 and 414.39 is: 621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.80 : 1,661.49 = 414.39 : x
  2. Step 2: Convert to fraction form
    1,107.80/1,661.49 = 414.39/x
  3. Step 3: Cross multiply
    1,107.80x = 1,661.49 × 414.39
  4. Step 4: Simplify right side
    1,107.80x = 688,504.84
  5. Step 5: Solve for x
    x = 688,504.84/1,107.80
  6. Step 6: Final answer
    x = 621.51

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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.