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Finding the Fourth Proportional to 1,107.84, 1,661.84 and 414.49

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Solution

The fourth proportional to 1,107.84, 1,661.84 and 414.49 is: 621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.84 : 1,661.84 = 414.49 : x
  2. Step 2: Convert to fraction form
    1,107.84/1,661.84 = 414.49/x
  3. Step 3: Cross multiply
    1,107.84x = 1,661.84 × 414.49
  4. Step 4: Simplify right side
    1,107.84x = 688,816.06
  5. Step 5: Solve for x
    x = 688,816.06/1,107.84
  6. Step 6: Final answer
    x = 621.76

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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.