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Finding the Fourth Proportional to 1,424.50, 1,965.62 and 794.96

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Solution

The fourth proportional to 1,424.50, 1,965.62 and 794.96 is: 1,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.50 : 1,965.62 = 794.96 : x
  2. Step 2: Convert to fraction form
    1,424.50/1,965.62 = 794.96/x
  3. Step 3: Cross multiply
    1,424.50x = 1,965.62 × 794.96
  4. Step 4: Simplify right side
    1,424.50x = 1,562,589.28
  5. Step 5: Solve for x
    x = 1,562,589.28/1,424.50
  6. Step 6: Final answer
    x = 1,096.94

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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.