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Finding the Fourth Proportional to 980.96, 1,470.36 and 460.54

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Solution

The fourth proportional to 980.96, 1,470.36 and 460.54 is: 690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.96 : 1,470.36 = 460.54 : x
  2. Step 2: Convert to fraction form
    980.96/1,470.36 = 460.54/x
  3. Step 3: Cross multiply
    980.96x = 1,470.36 × 460.54
  4. Step 4: Simplify right side
    980.96x = 677,152.24
  5. Step 5: Solve for x
    x = 677,152.24/980.96
  6. Step 6: Final answer
    x = 690.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.