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Finding the Fourth Proportional to 1,107.38, 1,661.06 and 458.13

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Solution

The fourth proportional to 1,107.38, 1,661.06 and 458.13 is: 687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.38 : 1,661.06 = 458.13 : x
  2. Step 2: Convert to fraction form
    1,107.38/1,661.06 = 458.13/x
  3. Step 3: Cross multiply
    1,107.38x = 1,661.06 × 458.13
  4. Step 4: Simplify right side
    1,107.38x = 760,976.33
  5. Step 5: Solve for x
    x = 760,976.33/1,107.38
  6. Step 6: Final answer
    x = 687.19

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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.