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Finding the Fourth Proportional to 1,108.26, 1,665.12 and 719.04

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Solution

The fourth proportional to 1,108.26, 1,665.12 and 719.04 is: 1,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.26 : 1,665.12 = 719.04 : x
  2. Step 2: Convert to fraction form
    1,108.26/1,665.12 = 719.04/x
  3. Step 3: Cross multiply
    1,108.26x = 1,665.12 × 719.04
  4. Step 4: Simplify right side
    1,108.26x = 1,197,287.88
  5. Step 5: Solve for x
    x = 1,197,287.88/1,108.26
  6. Step 6: Final answer
    x = 1,080.33

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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.