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Finding the Fourth Proportional to 742.62, 1,023.72 and 584.74

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Solution

The fourth proportional to 742.62, 1,023.72 and 584.74 is: 806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.62 : 1,023.72 = 584.74 : x
  2. Step 2: Convert to fraction form
    742.62/1,023.72 = 584.74/x
  3. Step 3: Cross multiply
    742.62x = 1,023.72 × 584.74
  4. Step 4: Simplify right side
    742.62x = 598,610.03
  5. Step 5: Solve for x
    x = 598,610.03/742.62
  6. Step 6: Final answer
    x = 806.08

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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.