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Finding the Fourth Proportional to 1,443.71, 1,991.79 and 946.63

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Solution

The fourth proportional to 1,443.71, 1,991.79 and 946.63 is: 1,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.71 : 1,991.79 = 946.63 : x
  2. Step 2: Convert to fraction form
    1,443.71/1,991.79 = 946.63/x
  3. Step 3: Cross multiply
    1,443.71x = 1,991.79 × 946.63
  4. Step 4: Simplify right side
    1,443.71x = 1,885,479.45
  5. Step 5: Solve for x
    x = 1,885,479.45/1,443.71
  6. Step 6: Final answer
    x = 1,305.99

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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.