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Finding the Fourth Proportional to 1,107.48, 1,660.95 and 414.21

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Solution

The fourth proportional to 1,107.48, 1,660.95 and 414.21 is: 621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.48 : 1,660.95 = 414.21 : x
  2. Step 2: Convert to fraction form
    1,107.48/1,660.95 = 414.21/x
  3. Step 3: Cross multiply
    1,107.48x = 1,660.95 × 414.21
  4. Step 4: Simplify right side
    1,107.48x = 687,982.10
  5. Step 5: Solve for x
    x = 687,982.10/1,107.48
  6. Step 6: Final answer
    x = 621.21

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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.