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Finding the Fourth Proportional to 980.96, 1,353.67 and 538.77

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Solution

The fourth proportional to 980.96, 1,353.67 and 538.77 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.96 : 1,353.67 = 538.77 : x
  2. Step 2: Convert to fraction form
    980.96/1,353.67 = 538.77/x
  3. Step 3: Cross multiply
    980.96x = 1,353.67 × 538.77
  4. Step 4: Simplify right side
    980.96x = 729,315.44
  5. Step 5: Solve for x
    x = 729,315.44/980.96
  6. Step 6: Final answer
    x = 743.47

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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.