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Finding the Fourth Proportional to 1,424.33, 1,965.61 and 794.86

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Solution

The fourth proportional to 1,424.33, 1,965.61 and 794.86 is: 1,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.33 : 1,965.61 = 794.86 : x
  2. Step 2: Convert to fraction form
    1,424.33/1,965.61 = 794.86/x
  3. Step 3: Cross multiply
    1,424.33x = 1,965.61 × 794.86
  4. Step 4: Simplify right side
    1,424.33x = 1,562,382.78
  5. Step 5: Solve for x
    x = 1,562,382.78/1,424.33
  6. Step 6: Final answer
    x = 1,096.92

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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.