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Finding the Fourth Proportional to 815.22, 1,224.05 and 468.94

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Solution

The fourth proportional to 815.22, 1,224.05 and 468.94 is: 704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.22 : 1,224.05 = 468.94 : x
  2. Step 2: Convert to fraction form
    815.22/1,224.05 = 468.94/x
  3. Step 3: Cross multiply
    815.22x = 1,224.05 × 468.94
  4. Step 4: Simplify right side
    815.22x = 574,006.01
  5. Step 5: Solve for x
    x = 574,006.01/815.22
  6. Step 6: Final answer
    x = 704.11

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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.