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Finding the Fourth Proportional to 704.91, 1,057.38 and 243.23

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Solution

The fourth proportional to 704.91, 1,057.38 and 243.23 is: 364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.91 : 1,057.38 = 243.23 : x
  2. Step 2: Convert to fraction form
    704.91/1,057.38 = 243.23/x
  3. Step 3: Cross multiply
    704.91x = 1,057.38 × 243.23
  4. Step 4: Simplify right side
    704.91x = 257,181.25
  5. Step 5: Solve for x
    x = 257,181.25/704.91
  6. Step 6: Final answer
    x = 364.84

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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.