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Finding the Fourth Proportional to 1,424.16, 1,965.30 and 794.71

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Solution

The fourth proportional to 1,424.16, 1,965.30 and 794.71 is: 1,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.16 : 1,965.30 = 794.71 : x
  2. Step 2: Convert to fraction form
    1,424.16/1,965.30 = 794.71/x
  3. Step 3: Cross multiply
    1,424.16x = 1,965.30 × 794.71
  4. Step 4: Simplify right side
    1,424.16x = 1,561,843.56
  5. Step 5: Solve for x
    x = 1,561,843.56/1,424.16
  6. Step 6: Final answer
    x = 1,096.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.