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Finding the Fourth Proportional to 724.53, 1,087.26 and 416.99

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Solution

The fourth proportional to 724.53, 1,087.26 and 416.99 is: 625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.53 : 1,087.26 = 416.99 : x
  2. Step 2: Convert to fraction form
    724.53/1,087.26 = 416.99/x
  3. Step 3: Cross multiply
    724.53x = 1,087.26 × 416.99
  4. Step 4: Simplify right side
    724.53x = 453,376.55
  5. Step 5: Solve for x
    x = 453,376.55/724.53
  6. Step 6: Final answer
    x = 625.75

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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.