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Finding the Fourth Proportional to 1,107.85, 1,660.75 and 414.16

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Solution

The fourth proportional to 1,107.85, 1,660.75 and 414.16 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.85 : 1,660.75 = 414.16 : x
  2. Step 2: Convert to fraction form
    1,107.85/1,660.75 = 414.16/x
  3. Step 3: Cross multiply
    1,107.85x = 1,660.75 × 414.16
  4. Step 4: Simplify right side
    1,107.85x = 687,822.70
  5. Step 5: Solve for x
    x = 687,822.70/1,107.85
  6. Step 6: Final answer
    x = 620.86

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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.