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Finding the Fourth Proportional to 680.94, 1,022.91 and 486.54

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Solution

The fourth proportional to 680.94, 1,022.91 and 486.54 is: 730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.94 : 1,022.91 = 486.54 : x
  2. Step 2: Convert to fraction form
    680.94/1,022.91 = 486.54/x
  3. Step 3: Cross multiply
    680.94x = 1,022.91 × 486.54
  4. Step 4: Simplify right side
    680.94x = 497,686.63
  5. Step 5: Solve for x
    x = 497,686.63/680.94
  6. Step 6: Final answer
    x = 730.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.