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Finding the Fourth Proportional to 741.03, 1,022.48 and 426.27

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Solution

The fourth proportional to 741.03, 1,022.48 and 426.27 is: 588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.03 : 1,022.48 = 426.27 : x
  2. Step 2: Convert to fraction form
    741.03/1,022.48 = 426.27/x
  3. Step 3: Cross multiply
    741.03x = 1,022.48 × 426.27
  4. Step 4: Simplify right side
    741.03x = 435,852.55
  5. Step 5: Solve for x
    x = 435,852.55/741.03
  6. Step 6: Final answer
    x = 588.17

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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.