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Finding the Fourth Proportional to 742.57, 1,025.16 and 494.30

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Solution

The fourth proportional to 742.57, 1,025.16 and 494.30 is: 682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.57 : 1,025.16 = 494.30 : x
  2. Step 2: Convert to fraction form
    742.57/1,025.16 = 494.30/x
  3. Step 3: Cross multiply
    742.57x = 1,025.16 × 494.30
  4. Step 4: Simplify right side
    742.57x = 506,737.30
  5. Step 5: Solve for x
    x = 506,737.30/742.57
  6. Step 6: Final answer
    x = 682.41

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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.