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Finding the Fourth Proportional to 1,107.28, 1,661.06 and 458.47

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Solution

The fourth proportional to 1,107.28, 1,661.06 and 458.47 is: 687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.28 : 1,661.06 = 458.47 : x
  2. Step 2: Convert to fraction form
    1,107.28/1,661.06 = 458.47/x
  3. Step 3: Cross multiply
    1,107.28x = 1,661.06 × 458.47
  4. Step 4: Simplify right side
    1,107.28x = 761,546.18
  5. Step 5: Solve for x
    x = 761,546.18/1,107.28
  6. Step 6: Final answer
    x = 687.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.