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Finding the Fourth Proportional to 741.40, 1,022.67 and 531.28

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Solution

The fourth proportional to 741.40, 1,022.67 and 531.28 is: 732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.40 : 1,022.67 = 531.28 : x
  2. Step 2: Convert to fraction form
    741.40/1,022.67 = 531.28/x
  3. Step 3: Cross multiply
    741.40x = 1,022.67 × 531.28
  4. Step 4: Simplify right side
    741.40x = 543,324.12
  5. Step 5: Solve for x
    x = 543,324.12/741.40
  6. Step 6: Final answer
    x = 732.84

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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.