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Finding the Fourth Proportional to 980.46, 1,353.05 and 538.35

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Solution

The fourth proportional to 980.46, 1,353.05 and 538.35 is: 742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.46 : 1,353.05 = 538.35 : x
  2. Step 2: Convert to fraction form
    980.46/1,353.05 = 538.35/x
  3. Step 3: Cross multiply
    980.46x = 1,353.05 × 538.35
  4. Step 4: Simplify right side
    980.46x = 728,414.47
  5. Step 5: Solve for x
    x = 728,414.47/980.46
  6. Step 6: Final answer
    x = 742.93

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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.