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Finding the Fourth Proportional to 741.39, 1,023.11 and 409.81

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Solution

The fourth proportional to 741.39, 1,023.11 and 409.81 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.39 : 1,023.11 = 409.81 : x
  2. Step 2: Convert to fraction form
    741.39/1,023.11 = 409.81/x
  3. Step 3: Cross multiply
    741.39x = 1,023.11 × 409.81
  4. Step 4: Simplify right side
    741.39x = 419,281.48
  5. Step 5: Solve for x
    x = 419,281.48/741.39
  6. Step 6: Final answer
    x = 565.54

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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.