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Finding the Fourth Proportional to 1,107.78, 1,661.70 and 414.62

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Solution

The fourth proportional to 1,107.78, 1,661.70 and 414.62 is: 621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.78 : 1,661.70 = 414.62 : x
  2. Step 2: Convert to fraction form
    1,107.78/1,661.70 = 414.62/x
  3. Step 3: Cross multiply
    1,107.78x = 1,661.70 × 414.62
  4. Step 4: Simplify right side
    1,107.78x = 688,974.05
  5. Step 5: Solve for x
    x = 688,974.05/1,107.78
  6. Step 6: Final answer
    x = 621.94

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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.