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Finding the Fourth Proportional to 863.07, 1,190.72 and 531.60

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Solution

The fourth proportional to 863.07, 1,190.72 and 531.60 is: 733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.07 : 1,190.72 = 531.60 : x
  2. Step 2: Convert to fraction form
    863.07/1,190.72 = 531.60/x
  3. Step 3: Cross multiply
    863.07x = 1,190.72 × 531.60
  4. Step 4: Simplify right side
    863.07x = 632,984.09
  5. Step 5: Solve for x
    x = 632,984.09/863.07
  6. Step 6: Final answer
    x = 733.41

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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.