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Finding the Fourth Proportional to 1,204.31, 1,659.30 and 810.65

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Solution

The fourth proportional to 1,204.31, 1,659.30 and 810.65 is: 1,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.31 : 1,659.30 = 810.65 : x
  2. Step 2: Convert to fraction form
    1,204.31/1,659.30 = 810.65/x
  3. Step 3: Cross multiply
    1,204.31x = 1,659.30 × 810.65
  4. Step 4: Simplify right side
    1,204.31x = 1,345,103.25
  5. Step 5: Solve for x
    x = 1,345,103.25/1,204.31
  6. Step 6: Final answer
    x = 1,116.91

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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.