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Finding the Fourth Proportional to 1,107.45, 1,661.24 and 414.30

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Solution

The fourth proportional to 1,107.45, 1,661.24 and 414.30 is: 621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.45 : 1,661.24 = 414.30 : x
  2. Step 2: Convert to fraction form
    1,107.45/1,661.24 = 414.30/x
  3. Step 3: Cross multiply
    1,107.45x = 1,661.24 × 414.30
  4. Step 4: Simplify right side
    1,107.45x = 688,249.66
  5. Step 5: Solve for x
    x = 688,249.66/1,107.45
  6. Step 6: Final answer
    x = 621.47

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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.