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Finding the Fourth Proportional to 813.02, 1,219.53 and 235.89

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Solution

The fourth proportional to 813.02, 1,219.53 and 235.89 is: 353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.02 : 1,219.53 = 235.89 : x
  2. Step 2: Convert to fraction form
    813.02/1,219.53 = 235.89/x
  3. Step 3: Cross multiply
    813.02x = 1,219.53 × 235.89
  4. Step 4: Simplify right side
    813.02x = 287,675.82
  5. Step 5: Solve for x
    x = 287,675.82/813.02
  6. Step 6: Final answer
    x = 353.84

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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.