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Finding the Fourth Proportional to 980.66, 1,471.46 and 590.80

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Solution

The fourth proportional to 980.66, 1,471.46 and 590.80 is: 886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.66 : 1,471.46 = 590.80 : x
  2. Step 2: Convert to fraction form
    980.66/1,471.46 = 590.80/x
  3. Step 3: Cross multiply
    980.66x = 1,471.46 × 590.80
  4. Step 4: Simplify right side
    980.66x = 869,338.57
  5. Step 5: Solve for x
    x = 869,338.57/980.66
  6. Step 6: Final answer
    x = 886.48

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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.