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Finding the Fourth Proportional to 741.85, 1,023.75 and 410.29

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Solution

The fourth proportional to 741.85, 1,023.75 and 410.29 is: 566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.85 : 1,023.75 = 410.29 : x
  2. Step 2: Convert to fraction form
    741.85/1,023.75 = 410.29/x
  3. Step 3: Cross multiply
    741.85x = 1,023.75 × 410.29
  4. Step 4: Simplify right side
    741.85x = 420,031.83
  5. Step 5: Solve for x
    x = 420,031.83/741.85
  6. Step 6: Final answer
    x = 566.20

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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.