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Finding the Fourth Proportional to 813.68, 1,220.16 and 300.80

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Solution

The fourth proportional to 813.68, 1,220.16 and 300.80 is: 451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.68 : 1,220.16 = 300.80 : x
  2. Step 2: Convert to fraction form
    813.68/1,220.16 = 300.80/x
  3. Step 3: Cross multiply
    813.68x = 1,220.16 × 300.80
  4. Step 4: Simplify right side
    813.68x = 367,024.13
  5. Step 5: Solve for x
    x = 367,024.13/813.68
  6. Step 6: Final answer
    x = 451.07

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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.