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Finding the Fourth Proportional to 812.97, 1,218.48 and 350.04

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Solution

The fourth proportional to 812.97, 1,218.48 and 350.04 is: 524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.97 : 1,218.48 = 350.04 : x
  2. Step 2: Convert to fraction form
    812.97/1,218.48 = 350.04/x
  3. Step 3: Cross multiply
    812.97x = 1,218.48 × 350.04
  4. Step 4: Simplify right side
    812.97x = 426,516.74
  5. Step 5: Solve for x
    x = 426,516.74/812.97
  6. Step 6: Final answer
    x = 524.64

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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.