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Finding the Fourth Proportional to 742.77, 1,024.90 and 443.92

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Solution

The fourth proportional to 742.77, 1,024.90 and 443.92 is: 612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.77 : 1,024.90 = 443.92 : x
  2. Step 2: Convert to fraction form
    742.77/1,024.90 = 443.92/x
  3. Step 3: Cross multiply
    742.77x = 1,024.90 × 443.92
  4. Step 4: Simplify right side
    742.77x = 454,973.61
  5. Step 5: Solve for x
    x = 454,973.61/742.77
  6. Step 6: Final answer
    x = 612.54

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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.