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Finding the Fourth Proportional to 812.85, 1,219.01 and 264.88

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Solution

The fourth proportional to 812.85, 1,219.01 and 264.88 is: 397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.85 : 1,219.01 = 264.88 : x
  2. Step 2: Convert to fraction form
    812.85/1,219.01 = 264.88/x
  3. Step 3: Cross multiply
    812.85x = 1,219.01 × 264.88
  4. Step 4: Simplify right side
    812.85x = 322,890.04
  5. Step 5: Solve for x
    x = 322,890.04/812.85
  6. Step 6: Final answer
    x = 397.23

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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.