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Finding the Fourth Proportional to 980.04, 1,468.40 and 485.78

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Solution

The fourth proportional to 980.04, 1,468.40 and 485.78 is: 727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.04 : 1,468.40 = 485.78 : x
  2. Step 2: Convert to fraction form
    980.04/1,468.40 = 485.78/x
  3. Step 3: Cross multiply
    980.04x = 1,468.40 × 485.78
  4. Step 4: Simplify right side
    980.04x = 713,324.24
  5. Step 5: Solve for x
    x = 713,324.24/980.04
  6. Step 6: Final answer
    x = 727.85

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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.