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Finding the Fourth Proportional to 1,107.29, 1,660.97 and 457.88

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Solution

The fourth proportional to 1,107.29, 1,660.97 and 457.88 is: 686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.29 : 1,660.97 = 457.88 : x
  2. Step 2: Convert to fraction form
    1,107.29/1,660.97 = 457.88/x
  3. Step 3: Cross multiply
    1,107.29x = 1,660.97 × 457.88
  4. Step 4: Simplify right side
    1,107.29x = 760,517.78
  5. Step 5: Solve for x
    x = 760,517.78/1,107.29
  6. Step 6: Final answer
    x = 686.83

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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.