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Finding the Fourth Proportional to 980.16, 1,353.12 and 926.56

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Solution

The fourth proportional to 980.16, 1,353.12 and 926.56 is: 1,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.16 : 1,353.12 = 926.56 : x
  2. Step 2: Convert to fraction form
    980.16/1,353.12 = 926.56/x
  3. Step 3: Cross multiply
    980.16x = 1,353.12 × 926.56
  4. Step 4: Simplify right side
    980.16x = 1,253,746.87
  5. Step 5: Solve for x
    x = 1,253,746.87/980.16
  6. Step 6: Final answer
    x = 1,279.12

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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.