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Finding the Fourth Proportional to 814.40, 1,222.08 and 779.60

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Solution

The fourth proportional to 814.40, 1,222.08 and 779.60 is: 1,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.40 : 1,222.08 = 779.60 : x
  2. Step 2: Convert to fraction form
    814.40/1,222.08 = 779.60/x
  3. Step 3: Cross multiply
    814.40x = 1,222.08 × 779.60
  4. Step 4: Simplify right side
    814.40x = 952,733.57
  5. Step 5: Solve for x
    x = 952,733.57/814.40
  6. Step 6: Final answer
    x = 1,169.86

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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.