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Finding the Fourth Proportional to 1,080.30, 1,620.24 and 495.12

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Solution

The fourth proportional to 1,080.30, 1,620.24 and 495.12 is: 742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.30 : 1,620.24 = 495.12 : x
  2. Step 2: Convert to fraction form
    1,080.30/1,620.24 = 495.12/x
  3. Step 3: Cross multiply
    1,080.30x = 1,620.24 × 495.12
  4. Step 4: Simplify right side
    1,080.30x = 802,213.23
  5. Step 5: Solve for x
    x = 802,213.23/1,080.30
  6. Step 6: Final answer
    x = 742.58

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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.