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Finding the Fourth Proportional to 1,080.41, 1,491.41 and 731.30

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Solution

The fourth proportional to 1,080.41, 1,491.41 and 731.30 is: 1,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.41 : 1,491.41 = 731.30 : x
  2. Step 2: Convert to fraction form
    1,080.41/1,491.41 = 731.30/x
  3. Step 3: Cross multiply
    1,080.41x = 1,491.41 × 731.30
  4. Step 4: Simplify right side
    1,080.41x = 1,090,662.50
  5. Step 5: Solve for x
    x = 1,090,662.50/1,080.41
  6. Step 6: Final answer
    x = 1,009.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.