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Finding the Fourth Proportional to 1,443.68, 1,991.76 and 1,304

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Solution

The fourth proportional to 1,443.68, 1,991.76 and 1,304 is: 1,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.68 : 1,991.76 = 1,304 : x
  2. Step 2: Convert to fraction form
    1,443.68/1,991.76 = 1,304/x
  3. Step 3: Cross multiply
    1,443.68x = 1,991.76 × 1,304
  4. Step 4: Simplify right side
    1,443.68x = 2,597,255.04
  5. Step 5: Solve for x
    x = 2,597,255.04/1,443.68
  6. Step 6: Final answer
    x = 1,799.05

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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.