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Finding the Fourth Proportional to 741.92, 1,023.80 and 410.33

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Solution

The fourth proportional to 741.92, 1,023.80 and 410.33 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.92 : 1,023.80 = 410.33 : x
  2. Step 2: Convert to fraction form
    741.92/1,023.80 = 410.33/x
  3. Step 3: Cross multiply
    741.92x = 1,023.80 × 410.33
  4. Step 4: Simplify right side
    741.92x = 420,096.36
  5. Step 5: Solve for x
    x = 420,096.36/741.92
  6. Step 6: Final answer
    x = 566.23

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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.