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Finding the Fourth Proportional to 744.43, 1,116.64 and 582.25

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Solution

The fourth proportional to 744.43, 1,116.64 and 582.25 is: 873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.43 : 1,116.64 = 582.25 : x
  2. Step 2: Convert to fraction form
    744.43/1,116.64 = 582.25/x
  3. Step 3: Cross multiply
    744.43x = 1,116.64 × 582.25
  4. Step 4: Simplify right side
    744.43x = 650,163.64
  5. Step 5: Solve for x
    x = 650,163.64/744.43
  6. Step 6: Final answer
    x = 873.37

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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.