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Finding the Fourth Proportional to 814.45, 1,222.88 and 786.10

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Solution

The fourth proportional to 814.45, 1,222.88 and 786.10 is: 1,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.45 : 1,222.88 = 786.10 : x
  2. Step 2: Convert to fraction form
    814.45/1,222.88 = 786.10/x
  3. Step 3: Cross multiply
    814.45x = 1,222.88 × 786.10
  4. Step 4: Simplify right side
    814.45x = 961,305.97
  5. Step 5: Solve for x
    x = 961,305.97/814.45
  6. Step 6: Final answer
    x = 1,180.31

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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.