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Finding the Fourth Proportional to 741.91, 1,023.82 and 410.35

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Solution

The fourth proportional to 741.91, 1,023.82 and 410.35 is: 566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.91 : 1,023.82 = 410.35 : x
  2. Step 2: Convert to fraction form
    741.91/1,023.82 = 410.35/x
  3. Step 3: Cross multiply
    741.91x = 1,023.82 × 410.35
  4. Step 4: Simplify right side
    741.91x = 420,124.54
  5. Step 5: Solve for x
    x = 420,124.54/741.91
  6. Step 6: Final answer
    x = 566.27

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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.