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Finding the Fourth Proportional to 742.74, 1,024.80 and 423.73

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Solution

The fourth proportional to 742.74, 1,024.80 and 423.73 is: 584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.74 : 1,024.80 = 423.73 : x
  2. Step 2: Convert to fraction form
    742.74/1,024.80 = 423.73/x
  3. Step 3: Cross multiply
    742.74x = 1,024.80 × 423.73
  4. Step 4: Simplify right side
    742.74x = 434,240.58
  5. Step 5: Solve for x
    x = 434,240.58/742.74
  6. Step 6: Final answer
    x = 584.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.