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Finding the Fourth Proportional to 741.52, 1,023.31 and 409.94

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Solution

The fourth proportional to 741.52, 1,023.31 and 409.94 is: 565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.52 : 1,023.31 = 409.94 : x
  2. Step 2: Convert to fraction form
    741.52/1,023.31 = 409.94/x
  3. Step 3: Cross multiply
    741.52x = 1,023.31 × 409.94
  4. Step 4: Simplify right side
    741.52x = 419,499.28
  5. Step 5: Solve for x
    x = 419,499.28/741.52
  6. Step 6: Final answer
    x = 565.73

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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.