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Finding the Fourth Proportional to 742.27, 1,024.39 and 427.53

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Solution

The fourth proportional to 742.27, 1,024.39 and 427.53 is: 590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.27 : 1,024.39 = 427.53 : x
  2. Step 2: Convert to fraction form
    742.27/1,024.39 = 427.53/x
  3. Step 3: Cross multiply
    742.27x = 1,024.39 × 427.53
  4. Step 4: Simplify right side
    742.27x = 437,954.42
  5. Step 5: Solve for x
    x = 437,954.42/742.27
  6. Step 6: Final answer
    x = 590.02

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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.