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Finding the Fourth Proportional to 1,107.62, 1,661.65 and 414.78

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Solution

The fourth proportional to 1,107.62, 1,661.65 and 414.78 is: 622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.62 : 1,661.65 = 414.78 : x
  2. Step 2: Convert to fraction form
    1,107.62/1,661.65 = 414.78/x
  3. Step 3: Cross multiply
    1,107.62x = 1,661.65 × 414.78
  4. Step 4: Simplify right side
    1,107.62x = 689,218.15
  5. Step 5: Solve for x
    x = 689,218.15/1,107.62
  6. Step 6: Final answer
    x = 622.25

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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.