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Finding the Fourth Proportional to 814.12, 1,122.64 and 636.77

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Solution

The fourth proportional to 814.12, 1,122.64 and 636.77 is: 878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.12 : 1,122.64 = 636.77 : x
  2. Step 2: Convert to fraction form
    814.12/1,122.64 = 636.77/x
  3. Step 3: Cross multiply
    814.12x = 1,122.64 × 636.77
  4. Step 4: Simplify right side
    814.12x = 714,864.69
  5. Step 5: Solve for x
    x = 714,864.69/814.12
  6. Step 6: Final answer
    x = 878.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.