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Finding the Fourth Proportional to 1,107.35, 1,661.22 and 458.13

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Solution

The fourth proportional to 1,107.35, 1,661.22 and 458.13 is: 687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.35 : 1,661.22 = 458.13 : x
  2. Step 2: Convert to fraction form
    1,107.35/1,661.22 = 458.13/x
  3. Step 3: Cross multiply
    1,107.35x = 1,661.22 × 458.13
  4. Step 4: Simplify right side
    1,107.35x = 761,054.72
  5. Step 5: Solve for x
    x = 761,054.72/1,107.35
  6. Step 6: Final answer
    x = 687.28

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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.