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Finding the Fourth Proportional to 1,107.63, 1,661.64 and 414.77

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Solution

The fourth proportional to 1,107.63, 1,661.64 and 414.77 is: 622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.63 : 1,661.64 = 414.77 : x
  2. Step 2: Convert to fraction form
    1,107.63/1,661.64 = 414.77/x
  3. Step 3: Cross multiply
    1,107.63x = 1,661.64 × 414.77
  4. Step 4: Simplify right side
    1,107.63x = 689,190.11
  5. Step 5: Solve for x
    x = 689,190.11/1,107.63
  6. Step 6: Final answer
    x = 622.22

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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.