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Finding the Fourth Proportional to 741.82, 1,023.52 and 422.71

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Solution

The fourth proportional to 741.82, 1,023.52 and 422.71 is: 583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.82 : 1,023.52 = 422.71 : x
  2. Step 2: Convert to fraction form
    741.82/1,023.52 = 422.71/x
  3. Step 3: Cross multiply
    741.82x = 1,023.52 × 422.71
  4. Step 4: Simplify right side
    741.82x = 432,652.14
  5. Step 5: Solve for x
    x = 432,652.14/741.82
  6. Step 6: Final answer
    x = 583.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.