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Finding the Fourth Proportional to 1,080.52, 1,617.96 and 709.16

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Solution

The fourth proportional to 1,080.52, 1,617.96 and 709.16 is: 1,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.52 : 1,617.96 = 709.16 : x
  2. Step 2: Convert to fraction form
    1,080.52/1,617.96 = 709.16/x
  3. Step 3: Cross multiply
    1,080.52x = 1,617.96 × 709.16
  4. Step 4: Simplify right side
    1,080.52x = 1,147,383.09
  5. Step 5: Solve for x
    x = 1,147,383.09/1,080.52
  6. Step 6: Final answer
    x = 1,061.88

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Why These Related Problems?

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