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Finding the Fourth Proportional to 741.80, 1,023.70 and 410.23

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Solution

The fourth proportional to 741.80, 1,023.70 and 410.23 is: 566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.80 : 1,023.70 = 410.23 : x
  2. Step 2: Convert to fraction form
    741.80/1,023.70 = 410.23/x
  3. Step 3: Cross multiply
    741.80x = 1,023.70 × 410.23
  4. Step 4: Simplify right side
    741.80x = 419,952.45
  5. Step 5: Solve for x
    x = 419,952.45/741.80
  6. Step 6: Final answer
    x = 566.12

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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.