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Finding the Fourth Proportional to 741.72, 1,023.52 and 410.15

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Solution

The fourth proportional to 741.72, 1,023.52 and 410.15 is: 565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.72 : 1,023.52 = 410.15 : x
  2. Step 2: Convert to fraction form
    741.72/1,023.52 = 410.15/x
  3. Step 3: Cross multiply
    741.72x = 1,023.52 × 410.15
  4. Step 4: Simplify right side
    741.72x = 419,796.73
  5. Step 5: Solve for x
    x = 419,796.73/741.72
  6. Step 6: Final answer
    x = 565.98

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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.