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Finding the Fourth Proportional to 805.65, 1,206.03 and 728.64

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Solution

The fourth proportional to 805.65, 1,206.03 and 728.64 is: 1,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.65 : 1,206.03 = 728.64 : x
  2. Step 2: Convert to fraction form
    805.65/1,206.03 = 728.64/x
  3. Step 3: Cross multiply
    805.65x = 1,206.03 × 728.64
  4. Step 4: Simplify right side
    805.65x = 878,766.54
  5. Step 5: Solve for x
    x = 878,766.54/805.65
  6. Step 6: Final answer
    x = 1,090.76

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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.