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Finding the Fourth Proportional to 979.26, 1,466.64 and 823.20

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Solution

The fourth proportional to 979.26, 1,466.64 and 823.20 is: 1,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.26 : 1,466.64 = 823.20 : x
  2. Step 2: Convert to fraction form
    979.26/1,466.64 = 823.20/x
  3. Step 3: Cross multiply
    979.26x = 1,466.64 × 823.20
  4. Step 4: Simplify right side
    979.26x = 1,207,338.05
  5. Step 5: Solve for x
    x = 1,207,338.05/979.26
  6. Step 6: Final answer
    x = 1,232.91

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