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Finding the Fourth Proportional to 1,107.66, 1,661.18 and 414.60

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Solution

The fourth proportional to 1,107.66, 1,661.18 and 414.60 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.66 : 1,661.18 = 414.60 : x
  2. Step 2: Convert to fraction form
    1,107.66/1,661.18 = 414.60/x
  3. Step 3: Cross multiply
    1,107.66x = 1,661.18 × 414.60
  4. Step 4: Simplify right side
    1,107.66x = 688,723.16
  5. Step 5: Solve for x
    x = 688,723.16/1,107.66
  6. Step 6: Final answer
    x = 621.78

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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.