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Finding the Fourth Proportional to 704.40, 1,057.32 and 379.92

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Solution

The fourth proportional to 704.40, 1,057.32 and 379.92 is: 570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 1,057.32 = 379.92 : x
  2. Step 2: Convert to fraction form
    704.40/1,057.32 = 379.92/x
  3. Step 3: Cross multiply
    704.40x = 1,057.32 × 379.92
  4. Step 4: Simplify right side
    704.40x = 401,697.01
  5. Step 5: Solve for x
    x = 401,697.01/704.40
  6. Step 6: Final answer
    x = 570.27

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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.