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Finding the Fourth Proportional to 980.53, 1,352.36 and 648.83

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Solution

The fourth proportional to 980.53, 1,352.36 and 648.83 is: 894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.53 : 1,352.36 = 648.83 : x
  2. Step 2: Convert to fraction form
    980.53/1,352.36 = 648.83/x
  3. Step 3: Cross multiply
    980.53x = 1,352.36 × 648.83
  4. Step 4: Simplify right side
    980.53x = 877,456.74
  5. Step 5: Solve for x
    x = 877,456.74/980.53
  6. Step 6: Final answer
    x = 894.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.