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Finding the Fourth Proportional to 742.00, 1,024.03 and 427.27

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Solution

The fourth proportional to 742.00, 1,024.03 and 427.27 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.00 : 1,024.03 = 427.27 : x
  2. Step 2: Convert to fraction form
    742.00/1,024.03 = 427.27/x
  3. Step 3: Cross multiply
    742.00x = 1,024.03 × 427.27
  4. Step 4: Simplify right side
    742.00x = 437,537.30
  5. Step 5: Solve for x
    x = 437,537.30/742.00
  6. Step 6: Final answer
    x = 589.68

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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.