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Finding the Fourth Proportional to 820.90, 1,224.88 and 742.56

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Solution

The fourth proportional to 820.90, 1,224.88 and 742.56 is: 1,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.90 : 1,224.88 = 742.56 : x
  2. Step 2: Convert to fraction form
    820.90/1,224.88 = 742.56/x
  3. Step 3: Cross multiply
    820.90x = 1,224.88 × 742.56
  4. Step 4: Simplify right side
    820.90x = 909,546.89
  5. Step 5: Solve for x
    x = 909,546.89/820.90
  6. Step 6: Final answer
    x = 1,107.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.