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Finding the Fourth Proportional to 980.70, 1,471.05 and 460.53

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Solution

The fourth proportional to 980.70, 1,471.05 and 460.53 is: 690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.70 : 1,471.05 = 460.53 : x
  2. Step 2: Convert to fraction form
    980.70/1,471.05 = 460.53/x
  3. Step 3: Cross multiply
    980.70x = 1,471.05 × 460.53
  4. Step 4: Simplify right side
    980.70x = 677,462.66
  5. Step 5: Solve for x
    x = 677,462.66/980.70
  6. Step 6: Final answer
    x = 690.80

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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.