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Finding the Fourth Proportional to 813.94, 1,218.22 and 443.16

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Solution

The fourth proportional to 813.94, 1,218.22 and 443.16 is: 663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.94 : 1,218.22 = 443.16 : x
  2. Step 2: Convert to fraction form
    813.94/1,218.22 = 443.16/x
  3. Step 3: Cross multiply
    813.94x = 1,218.22 × 443.16
  4. Step 4: Simplify right side
    813.94x = 539,866.38
  5. Step 5: Solve for x
    x = 539,866.38/813.94
  6. Step 6: Final answer
    x = 663.28

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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.