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Finding the Fourth Proportional to 1,042.70, 1,561.92 and 493.21

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Solution

The fourth proportional to 1,042.70, 1,561.92 and 493.21 is: 738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.70 : 1,561.92 = 493.21 : x
  2. Step 2: Convert to fraction form
    1,042.70/1,561.92 = 493.21/x
  3. Step 3: Cross multiply
    1,042.70x = 1,561.92 × 493.21
  4. Step 4: Simplify right side
    1,042.70x = 770,357.23
  5. Step 5: Solve for x
    x = 770,357.23/1,042.70
  6. Step 6: Final answer
    x = 738.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.