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Finding the Fourth Proportional to 742.20, 1,024.36 and 447.51

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Solution

The fourth proportional to 742.20, 1,024.36 and 447.51 is: 617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.20 : 1,024.36 = 447.51 : x
  2. Step 2: Convert to fraction form
    742.20/1,024.36 = 447.51/x
  3. Step 3: Cross multiply
    742.20x = 1,024.36 × 447.51
  4. Step 4: Simplify right side
    742.20x = 458,411.34
  5. Step 5: Solve for x
    x = 458,411.34/742.20
  6. Step 6: Final answer
    x = 617.64

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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.