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Finding the Fourth Proportional to 654.53, 983.64 and 494.15

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Solution

The fourth proportional to 654.53, 983.64 and 494.15 is: 742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.53 : 983.64 = 494.15 : x
  2. Step 2: Convert to fraction form
    654.53/983.64 = 494.15/x
  3. Step 3: Cross multiply
    654.53x = 983.64 × 494.15
  4. Step 4: Simplify right side
    654.53x = 486,058.32
  5. Step 5: Solve for x
    x = 486,058.32/654.53
  6. Step 6: Final answer
    x = 742.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.