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Finding the Fourth Proportional to 874.96, 1,311.30 and 441.88

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Solution

The fourth proportional to 874.96, 1,311.30 and 441.88 is: 662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.96 : 1,311.30 = 441.88 : x
  2. Step 2: Convert to fraction form
    874.96/1,311.30 = 441.88/x
  3. Step 3: Cross multiply
    874.96x = 1,311.30 × 441.88
  4. Step 4: Simplify right side
    874.96x = 579,437.24
  5. Step 5: Solve for x
    x = 579,437.24/874.96
  6. Step 6: Final answer
    x = 662.24

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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.