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Finding the Fourth Proportional to 741.92, 1,023.88 and 410.36

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Solution

The fourth proportional to 741.92, 1,023.88 and 410.36 is: 566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.92 : 1,023.88 = 410.36 : x
  2. Step 2: Convert to fraction form
    741.92/1,023.88 = 410.36/x
  3. Step 3: Cross multiply
    741.92x = 1,023.88 × 410.36
  4. Step 4: Simplify right side
    741.92x = 420,159.40
  5. Step 5: Solve for x
    x = 420,159.40/741.92
  6. Step 6: Final answer
    x = 566.31

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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.