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Finding the Fourth Proportional to 1,080.52, 1,618.62 and 647.44

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Solution

The fourth proportional to 1,080.52, 1,618.62 and 647.44 is: 969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.52 : 1,618.62 = 647.44 : x
  2. Step 2: Convert to fraction form
    1,080.52/1,618.62 = 647.44/x
  3. Step 3: Cross multiply
    1,080.52x = 1,618.62 × 647.44
  4. Step 4: Simplify right side
    1,080.52x = 1,047,959.33
  5. Step 5: Solve for x
    x = 1,047,959.33/1,080.52
  6. Step 6: Final answer
    x = 969.87

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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.