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Finding the Fourth Proportional to 742.05, 1,024.50 and 521.52

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Solution

The fourth proportional to 742.05, 1,024.50 and 521.52 is: 720.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.05 : 1,024.50 = 521.52 : x
  2. Step 2: Convert to fraction form
    742.05/1,024.50 = 521.52/x
  3. Step 3: Cross multiply
    742.05x = 1,024.50 × 521.52
  4. Step 4: Simplify right side
    742.05x = 534,297.24
  5. Step 5: Solve for x
    x = 534,297.24/742.05
  6. Step 6: Final answer
    x = 720.03

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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.