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Finding the Fourth Proportional to 809.04, 1,214.40 and 548.22

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Solution

The fourth proportional to 809.04, 1,214.40 and 548.22 is: 822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.04 : 1,214.40 = 548.22 : x
  2. Step 2: Convert to fraction form
    809.04/1,214.40 = 548.22/x
  3. Step 3: Cross multiply
    809.04x = 1,214.40 × 548.22
  4. Step 4: Simplify right side
    809.04x = 665,758.37
  5. Step 5: Solve for x
    x = 665,758.37/809.04
  6. Step 6: Final answer
    x = 822.90

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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.