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Finding the Fourth Proportional to 1,107.76, 1,661.84 and 458.54

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Solution

The fourth proportional to 1,107.76, 1,661.84 and 458.54 is: 687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.76 : 1,661.84 = 458.54 : x
  2. Step 2: Convert to fraction form
    1,107.76/1,661.84 = 458.54/x
  3. Step 3: Cross multiply
    1,107.76x = 1,661.84 × 458.54
  4. Step 4: Simplify right side
    1,107.76x = 762,021.98
  5. Step 5: Solve for x
    x = 762,021.98/1,107.76
  6. Step 6: Final answer
    x = 687.90

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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.