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Finding the Fourth Proportional to 1,107.56, 1,662.09 and 458.29

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Solution

The fourth proportional to 1,107.56, 1,662.09 and 458.29 is: 687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.56 : 1,662.09 = 458.29 : x
  2. Step 2: Convert to fraction form
    1,107.56/1,662.09 = 458.29/x
  3. Step 3: Cross multiply
    1,107.56x = 1,662.09 × 458.29
  4. Step 4: Simplify right side
    1,107.56x = 761,719.23
  5. Step 5: Solve for x
    x = 761,719.23/1,107.56
  6. Step 6: Final answer
    x = 687.75

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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.