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Finding the Fourth Proportional to 980, 1,466.34 and 613.08

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Solution

The fourth proportional to 980, 1,466.34 and 613.08 is: 917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,466.34 = 613.08 : x
  2. Step 2: Convert to fraction form
    980/1,466.34 = 613.08/x
  3. Step 3: Cross multiply
    980x = 1,466.34 × 613.08
  4. Step 4: Simplify right side
    980x = 898,983.73
  5. Step 5: Solve for x
    x = 898,983.73/980
  6. Step 6: Final answer
    x = 917.33

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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.