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Finding the Fourth Proportional to 1,107.88, 1,661.82 and 458.63

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Solution

The fourth proportional to 1,107.88, 1,661.82 and 458.63 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.88 : 1,661.82 = 458.63 : x
  2. Step 2: Convert to fraction form
    1,107.88/1,661.82 = 458.63/x
  3. Step 3: Cross multiply
    1,107.88x = 1,661.82 × 458.63
  4. Step 4: Simplify right side
    1,107.88x = 762,149.90
  5. Step 5: Solve for x
    x = 762,149.90/1,107.88
  6. Step 6: Final answer
    x = 687.94

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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.