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Finding the Fourth Proportional to 813.44, 1,220.11 and 350.89

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Solution

The fourth proportional to 813.44, 1,220.11 and 350.89 is: 526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.44 : 1,220.11 = 350.89 : x
  2. Step 2: Convert to fraction form
    813.44/1,220.11 = 350.89/x
  3. Step 3: Cross multiply
    813.44x = 1,220.11 × 350.89
  4. Step 4: Simplify right side
    813.44x = 428,131.02
  5. Step 5: Solve for x
    x = 428,131.02/813.44
  6. Step 6: Final answer
    x = 526.32

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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.